## Simsek, Yilmaz

Compute Distance To:
 Author ID: simsek.yilmaz Published as: Simsek, Yilmaz; Simsek, Y.; Şimşek, Yılmaz; Şimşek, Yilmaz; Simsek, Yılmaz more...less External Links: ORCID
 Documents Indexed: 204 Publications since 1992 Reviewing Activity: 101 Reviews Co-Authors: 56 Co-Authors with 136 Joint Publications 1,800 Co-Co-Authors
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### Co-Authors

 68 single-authored 21 Cangul, Ismail Naci 21 Kucukoglu, Irem 18 Ozden, Hacer 13 Kurt, Veli 12 Kim, Daeyeoul 11 Kilar, Neslihan 11 Srivastava, Hari Mohan 9 Rim, Seog-Hoon 8 Bayad, Abdelmejid 7 Aygunes, Aykut Ahmet 7 Kim, Taekyun 5 Dere, Rahime 4 Acikgoz, Mehmet 4 Cenkci, Mehmet 4 Çevik, Ahmet Sinan 4 Kurt, Burak 4 Lokesha, V. 3 Alkan, Mustafa 3 Milovanović, Gradimir V. 3 Nagaraja, K. M. 3 So, Jisuk 3 Yardimci, Ahmet 2 Gun, Damla 2 Jang, Lee-Chae 2 Komatsu, Takao 2 Koo, Jakyung 2 Ozdemir, Gulsah 2 Simsek, Burcin 2 Yang, Sheldon 2 Yürekli, Osman 1 Adiga, Chandrashekar 1 Askan, Zehra Selin 1 Aygunes, Aykut Ahmed 1 Bulkhali, Nasser Abdo Saeed 1 Cakić, Nenad P. 1 Can, Mumun 1 Çetin, Elif 1 Das, Kinkar Chandra 1 Dernek, Neşe 1 Goldman, Ronald N. 1 Gunay, Melih 1 Kim, Wonjoo 1 Mahadeva Naika, Megadahalli Sidda 1 Maheshkumar, Mugur Chinna Swamy 1 Mansour, Toufik 1 Ozden Ayna, Hacer 1 Pak, Hong Kyung 1 Park, Dal-Won 1 Pyung, In-Soo 1 Ro, Young Shick 1 Simeonov, Plamen C. 1 Simsek, Buket 1 Soydan, Gokhan 1 Stojanović, Vladica S. 1 Yalcin, Fusun 1 Yülüklü, Eda
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### Serials

 33 Advanced Studies in Contemporary Mathematics (Kyungshang) 15 Filomat 11 Applied Mathematics and Computation 9 Mathematical Methods in the Applied Sciences 8 Advances in Difference Equations 7 Russian Journal of Mathematical Physics 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Journal of the Korean Mathematical Society 6 Turkish Journal of Mathematics 6 Journal of Inequalities and Applications 6 Fixed Point Theory and Applications 6 Applicable Analysis and Discrete Mathematics 4 Journal of Number Theory 4 Proceedings of the Jangjeon Mathematical Society 3 Computers & Mathematics with Applications 3 Journal of Mathematical Analysis and Applications 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 General Mathematics 3 Abstract and Applied Analysis 3 Boundary Value Problems 3 Axioms 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Bulletin of the Korean Mathematical Society 2 Acta Mathematica Hungarica 2 Applied Mathematics Letters 2 Integral Transforms and Special Functions 2 Journal of Nonlinear Mathematical Physics 2 Hacettepe Journal of Mathematics and Statistics 2 Journal of the Indonesian Mathematical Society 2 Mediterranean Journal of Mathematics 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques 1 Annales de l’Institut Fourier 1 Bulletin of the Calcutta Mathematical Society 1 Pure & Applied Mathematika Sciences 1 Quaestiones Mathematicae 1 SIAM Journal on Discrete Mathematics 1 The Journal of Analysis 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Difference Equations and Applications 1 Differential Equations and Dynamical Systems 1 Taiwanese Journal of Mathematics 1 Mathematical & Computational Applications 1 Communications of the Korean Mathematical Society 1 Far East Journal of Mathematical Sciences 1 JP Journal of Algebra, Number Theory and Applications 1 Milan Journal of Mathematics 1 South East Asian Journal of Mathematics and Mathematical Sciences 1 Journal of Concrete and Applicable Mathematics 1 Journal of Applicable Functional Differential Equations 1 Journal of Nonlinear Science and Applications 1 Journal of Algebra, Number Theory: Advances and Applications 1 Symmetry 1 Cogent Mathematics
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### Fields

 185 Number theory (11-XX) 84 Combinatorics (05-XX) 57 Special functions (33-XX) 44 Real functions (26-XX) 21 Functions of a complex variable (30-XX) 9 Numerical analysis (65-XX) 9 Computer science (68-XX) 8 Field theory and polynomials (12-XX) 8 Integral transforms, operational calculus (44-XX) 7 Partial differential equations (35-XX) 5 Ordinary differential equations (34-XX) 4 Algebraic geometry (14-XX) 4 Approximations and expansions (41-XX) 3 Group theory and generalizations (20-XX) 3 Probability theory and stochastic processes (60-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Sequences, series, summability (40-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Statistics (62-XX)

### Citations contained in zbMATH Open

169 Publications have been cited 2,337 times in 739 Documents Cited by Year
On the generalized Apostol-type Frobenius-Euler polynomials. Zbl 1365.05013
Kurt, Burak; Simsek, Yilmaz
2013
$$q$$-Bernoulli numbers and polynomials associated with multiple $$q$$-zeta functions and basic $$L$$-series. Zbl 1200.11018
Srivastava, H. M.; Kim, T.; Simsek, Y.
2005
Twisted $$(h,q)$$-Bernoulli numbers and polynomials related to twisted $$(h,q)$$-zeta function and $$L$$-function. Zbl 1139.11051
Simsek, Yilmaz
2006
A new extension of $$q$$-Euler numbers and polynomials related to their interpolation functions. Zbl 1152.11009
Özden, Hacer; Simsek, Yilmaz
2008
A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials. Zbl 1207.33015
Özden, Hacer; Simsek, Yilmaz; Srivastava, H. M.
2010
Generating functions of the twisted Bernoulli numbers and polynomials associated with their interpolation functions. Zbl 1173.11064
Simsek, Yilmaz
2008
$$q$$-analogue of twisted $$l$$-series and $$q$$-twisted Euler numbers. Zbl 1114.11019
Simsek, Yilmaz
2005
Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications. Zbl 1293.11044
Simsek, Yilmaz
2013
Identities on the Changhee numbers and Apostol-type Daehee polynomials. Zbl 1371.11060
Simsek, Yilmaz
2017
Remarks on $$q$$-Bernoulli numbers associated with Daehee numbers. Zbl 1188.05005
Özden, Hacer; Cangül, İsmail Naci; Simsek, Yilmaz
2009
Complete sum of products of $$(h,q)$$-extension of Euler polynomials and numbers. Zbl 1223.11027
Simsek, Yilmaz
2010
On $$p$$-adic twisted $$q$$-$$L$$-functions related to generalized twisted Bernoulli numbers. Zbl 1163.11312
Simsek, Y.
2006
Applications of umbral algebra to some special polynomials. Zbl 1270.11018
Dere, Rahime; Simsek, Yilmaz
2012
Special functions related to Dedekind-type DC-sums and their applications. Zbl 1259.11045
Simsek, Y.
2010
Theorems on twisted $$L$$-function and twisted Bernoulli numbers. Zbl 1178.11058
Simsek, Yilmaz
2005
On the higher-order $$w$$-$$q$$-Genocchi numbers. Zbl 1187.05004
Cangül, Ismail Naci; Kurt, Veli; Özden, Hacer; Simsek, Yilmaz
2009
On the analogs of Bernoulli and Euler numbers, related identities and zeta and $$L$$-functions. Zbl 1223.11145
Kim, Taekyun; Rim, Seog-Hoon; Simsek, Yilmaz; Kim, Daeyeoul
2008
Twisted Dedekind type sums associated with Barnes’ type multiple Frobenius-Euler $$L$$-functions. Zbl 1198.11044
Can, Mumun; Cenkci, Mehmet; Kurt, Veli; Simsek, Yilmaz
2009
A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral algebra. Zbl 1295.11023
Dere, Rahime; Simsek, Yilmaz; Srivastava, H. M.
2013
Multivariate interpolation functions of higher-order $$q$$-Euler numbers and their applications. Zbl 1140.11313
Özden, Hacer; Cangül, Ismail Naci; Simsek, Yilmaz
2008
Some families of Genocchi type polynomials and their interpolation functions. Zbl 1253.05021
Srivastava, H. M.; Kurt, Burak; Simsek, Yilmaz
2012
A new generating function of ($$q$$-) Bernstein-type polynomials and their interpolation function. Zbl 1185.33013
Simsek, Yilmaz; Açıkgöz, Mehmet
2010
New approach to the complete sum of products of the twisted $$(h,q)$$-Bernoulli numbers and polynomials. Zbl 1163.11015
Simsek, Yilmaz; Kurt, Veli; Kim, Daeyeoul
2007
$$q$$-Dedekind type sums related to $$q$$-zeta function and basic $$L$$-series. Zbl 1149.11054
Simsek, Yilmaz
2006
Generating functions of the $$(h,q)$$ extension of twisted Euler polynomials and numbers. Zbl 1174.11025
Cangül, I. N.; Özden, H.; Simsek, Y.
2008
A note on $$p$$-adic $$q$$-Euler measure. Zbl 1143.11008
Özden, Hacer; Simsek, Yilmaz; Rim, Seog-Hoon; Cangül, Ismail Naci
2007
Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and $$p$$-adic $$q$$-integrals. Zbl 1438.11056
Şimşek, Yılmaz
2018
On interpolation functions of the twisted generalized Frobenius-Euler numbers. Zbl 1217.11115
Simsek, Yilmaz; Yurekli, Osman; Kurt, Veli
2007
On twisted $$q$$-Hurwitz zeta function and $$q$$-two-variable $$L$$-function. Zbl 1143.11032
Simsek, Yilmaz
2007
Further remarks on multiple $$p$$-adic $$q$$-$$L$$-function of two variables. Zbl 1143.11043
Cenkci, Mehmet; Simsek, Yilmaz; Kurt, Veli
2007
Generating functions for special polynomials and numbers including Apostol-type and Humbert-type polynomials. Zbl 1373.05012
Ozdemir, Gulsah; Simsek, Yilmaz; Milovanović, Gradimir V.
2017
Generating functions for $$q$$-Apostol type Frobenius-Euler numbers and polynomials. Zbl 1294.11025
Simsek, Yilmaz
2012
Analysis of the Bernstein basis functions: an approach to combinatorial sums involving binomial coefficients and Catalan numbers. Zbl 1331.05024
Simsek, Yilmaz
2015
Partial differential equations for a new family of numbers and polynomials unifying the Apostol-type numbers and the Apostol-type polynomials. Zbl 1369.05009
Srivastava, H. M.; Kucukoğlu, Irem; Simsek, Yilmaz
2017
Apostol type Daehee numbers and polynomials. Zbl 1404.11021
Simsek, Yilmaz
2016
$$q$$-Bernstein polynomials related to $$q$$-Frobenius-Euler polynomials, $$l$$-functions, and $$q$$-Stirling numbers. Zbl 1262.11039
Simsek, Yilmaz; Bayad, Abdelmejid; Lokesha, V.
2012
Genocchi polynomials associated with the umbral algebra. Zbl 1229.11036
Dere, Rahime; Simsek, Yilmaz
2011
Generating functions for the Bernstein type polynomials: a new approach to deriving identities and applications for the polynomials. Zbl 1369.33010
Şimşek, Yılmaz
2014
Computation methods for combinatorial sums and Euler-type numbers related to new families of numbers. Zbl 1430.11033
Simsek, Yilmaz
2017
A new approach to $$q$$-Genocchi numbers and their interpolation functions. Zbl 1238.11017
Cangül, İsmail Naci; Özden, Hacer; Simsek, Yilmaz
2009
Euler polynomials associated with $$p$$-adic $$q$$-Euler measure. Zbl 1155.11056
Özden, Hacer; Simsek, Yilmaz; Cangül, Ismail Naci
2007
An approach to negative hypergeometric distribution by generating function for special numbers and polynomials. Zbl 1439.05011
Küçükoğlu, İrem; Şimşek, Burçin; Şimşek, Yılmaz
2019
Modification and unification of the Apostol-type numbers and polynomials and their applications. Zbl 1334.11015
Ozden, Hacer; Simsek, Yilmaz
2014
Some array type polynomials associated with special numbers and polynomials. Zbl 1335.33003
Bayad, Abdelmejid; Simsek, Yilmaz; Srivastava, H. M.
2014
$$q$$-Hardy-Berndt type sums associated with $$q$$-Genocchi type zeta and $$q$$-$$l$$-functions. Zbl 1238.11030
Simsek, Yilmaz
2009
A new family of Fubini type numbers and polynomials associated with Apostol-Bernoulli numbers and polynomials. Zbl 1426.11014
Kilar, Neslihan; Simsek, Yilmaz
2017
Identities and relations related to combinatorial numbers and polynomials. Zbl 1407.11041
Simsek, Yilmaz
2017
Interpolation function of the $$(h,q)$$-extension of twisted Euler numbers. Zbl 1155.11015
Özden, Hacer; Simsek, Yilmaz
2008
Twisted $$p$$-adic $$(h,q)$$-$$L$$-functions. Zbl 1203.11079
Simsek, Yilmaz
2010
Functional equations from generating functions: a novel approach to deriving identities for the Bernstein basis functions. Zbl 1297.44002
Simsek, Yilmaz
2013
Multiple two-variable $$p$$-adic $$q$$-$$L$$-function and its behavior at $$s=0$$. Zbl 1192.11079
Cenkci, M.; Simsek, Y.; Kurt, V.
2008
$$q$$-Genocchi numbers and polynomials associated with $$q$$-Genocchi-type $$l$$-functions. Zbl 1140.33308
Simsek, Yilmaz; Cangül, Ismail Naci; Kurt, Veli; Kim, Daeyeoul
2008
Hermite base Bernoulli type polynomials on the umbral algebra. Zbl 1318.33015
Dere, R.; Simsek, Y.
2015
Relations between theta-functions, Hardy sums, Eisenstein and Lambert series in the transformation formula of log $$\eta_{g,h}(z)$$. Zbl 1047.11042
Simsek, Yilmaz
2003
On $$q$$-analogues of the twisted $$L$$-functions and $$q$$-twisted Bernoulli numbers. Zbl 1043.11066
Simsek, Yilmaz
2003
Construction a new generating function of Bernstein type polynomials. Zbl 1225.30003
Simsek, Yilmaz
2011
A note on the alternating sums of powers of consecutive $$q$$-integers. Zbl 1201.11108
Kim, Taekyun; Rim, Seog-Hoon; Simsek, Yilmaz
2006
Applications on the Apostol-Daehee numbers and polynomials associated with special numbers, polynomials, and $$p$$-adic integrals. Zbl 1419.11044
Simsek, Yilmaz; Yardimci, Ahmet
2016
Remarks on sum of products of $$(h,q)$$-twisted Euler polynomials and numbers. Zbl 1140.11314
Özden, Hacer; Cangül, Ismail Naci; Simsek, Yilmaz
2008
Analysis of the $$p$$-adic $$q$$-Volkenborn integrals: an approach to generalized Apostol-type special numbers and polynomials and their applications. Zbl 1426.11015
Simsek, Yilmaz
2016
Analytic continuation of the multiple Daehee $$q$$-$$l$$-functions associated with Daehee numbers. Zbl 1196.11157
Kim, Taekyun; Simsek, Yilmaz
2008
Generating functions for the $$q$$-Bernstein bases. Zbl 1304.65264
Goldman, Ron; Simeonov, Plamen; Simsek, Yilmaz
2014
Interpolation function of generalized $$q$$-Bernstein-type basis polynomials and applications. Zbl 1352.65067
Simsek, Yilmaz
2012
A new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomials. Zbl 1446.11038
Kucukoğlu, Irem; Simsek, Yilmaz; Srivastava, H. M.
2019
On the two-variable Dirichlet $$q$$-$$L$$-series. Zbl 1073.11071
Simsek, Yilmaz; Kim, Daeyeoul; Rim, Seog-Hoon
2005
On twisted generalized Euler numbers. Zbl 1143.11305
Simsek, Yilmaz
2004
Notes on generalization of the Bernoulli type polynomials. Zbl 1269.11023
Kurt, Burak; Simsek, Yilmaz
2011
Remarks on reciprocity laws of the Dedekind and Hardy sums. Zbl 1094.11017
Simsek, Yilmaz
2006
A family of $$p$$-adic twisted interpolation functions associated with the modified Bernoulli numbers. Zbl 1211.11133
Simsek, Yilmaz; Srivastava, H. M.
2010
Generating functions for two-variable polynomials related to a family of Fibonacci type polynomials and numbers. Zbl 1459.11044
Ozdemir, Gulsah; Simsek, Yilmaz
2016
On $$(i,q)$$ Bernoulli and Euler numbers. Zbl 1152.11008
Cenkci, M.; Kurt, V.; Rim, S. H.; Simsek, Y.
2008
A new class of polynomials associated with Bernstein and beta polynomials. Zbl 1303.33013
Simsek, Yilmaz
2014
An explicit formula for the multiple Frobenius-Euler numbers and polynomials. Zbl 1161.11410
Simsek, Y.; Kim, T.; Park, D. W.; Ro, Y. S.; Jang, L. C.; Rim, S. H.
2004
Beta-type polynomials and their generating functions. Zbl 1410.11012
Simsek, Yilmaz
2015
A new approach to connect algebra with analysis: relationships and applications between presentations and generating functions. Zbl 1319.11009
Cangül, Ismail Naci; Çevik, Ahmet Sinan; Şimşek, Yılmaz
2013
Generating functions for finite sums involving higher powers of binomial coefficients: analysis of hypergeometric functions including new families of polynomials and numbers. Zbl 1461.33003
Simsek, Yilmaz
2019
Formulas for Poisson-Charlier, Hermite, Milne-Thomson and other type polynomials by their generating functions and $$p$$-adic integral approach. Zbl 1429.11046
Simsek, Yilmaz
2019
New families of special numbers for computing negative order Euler numbers and related numbers and polynomials. Zbl 1488.11072
Simsek, Yilmaz
2018
The behavior of the twisted $$p$$-adic $$(h,q)$$-$$L$$-functions at $$s=0$$. Zbl 1143.11009
Simsek, Yilmaz
2007
On multiple interpolation functions of the Nörlund-type $$q$$-Euler polynomials. Zbl 1194.11027
Açıkgöz, Mehmet; Simsek, Yilmaz
2009
An invariant $$p$$-adic $$q$$-integral associated with $$q$$-Euler numbers and polynomials. Zbl 1159.11008
Cangül, Ismail Naci; Kurt, Veli; Simsek, Yilmaz; Pak, Hong Kyung; Rim, Seog-Hoon
2007
Some new identities and inequalities for Bernoulli polynomials and numbers of higher order related to the Stirling and Catalan numbers. Zbl 1484.11072
Gun, Damla; Simsek, Yilmaz
2020
Identities associated with generalized Stirling type numbers and Eulerian type polynomials. Zbl 1390.33024
Simsek, Yilmaz
2013
$$k$$-ary Lyndon words and necklaces arising as rational arguments of Hurwitz-Lerch zeta function and Apostol-Bernoulli polynomials. Zbl 1404.05010
Kucukoglu, Irem; Bayad, Abdelmejid; Simsek, Yilmaz
2017
Unification of the Bernstein-type polynomials and their applications. Zbl 1319.11012
Simsek, Yilmaz
2013
A note on generating functions for the unification of the Bernstein type basis functions. Zbl 1474.33009
Kucukoglu, Irem; Simsek, Yilmaz
2016
Generalized Dedekind sums associated with the Abel sum and the Einstein and Lambert series. Zbl 1064.11036
Simsek, Yilmaz
2004
Peters type polynomials and numbers and their generating functions: approach with $$p$$-adic integral method. Zbl 1453.11033
Simsek, Yilmaz
2019
A study on the $$p$$-adic integral representation on $$\mathbb Z_p$$ associated with Bernstein and Bernoulli polynomials. Zbl 1221.11058
Jang, Lee-Chae; Kim, Won-Joo; Simsek, Yilmaz
2010
Multiple interpolation functions of higher order $$(h,q)$$-Bernoulli numbers. Zbl 1192.11012
Simsek, Yilmaz
2008
Barnes’ type multiple Changhee $$q$$-zeta functions. Zbl 1088.11088
Simsek, Yilmaz; Kim, Taekyun; Pyung, In-Soo
2005
Unified representation of the family of $$L$$-functions. Zbl 1284.11121
Özden, Hacer; Simsek, Yilmaz
2013
Generating function for $$q$$-Eulerian polynomials and their decomposition and applications. Zbl 1284.05041
Alkan, Mustafa; Simsek, Yilmaz
2013
On generalized Hardy sums $$s_5(h,k)$$. Zbl 1072.11030
Simsek, Y.
2004
Theorems on three-term relations for Hardy sums. Zbl 0916.11026
Şimşek, Yılmaz
1998
Transformation for four Titchmarsh-type infinite integrals and generalized Dedekind sums associated with Lambert series. Zbl 1068.11025
Simsek, Yilmaz; Yang, Sheldon
2004
Remarks on interpolation function of higher order $$(h,q)$$-Bernoulli numbers. Zbl 1200.11017
Aygunes, Aykut Ahmet; Simsek, Yilmaz
2009
On the Hermite base Genocchi polynomials. Zbl 1275.11044
Kurt, Burak; Simsek, Yilmaz
2013
On analytic properties and character analogs of Hardy sums. Zbl 1195.11057
Simsek, Yilmaz
2009
Unification of multiple Lerch-zeta type functions. Zbl 1270.11088
Aygüneş, A. Ahmet; Simsek, Yilmaz
2011
Identities and relations for Hermite-based Milne-Thomson polynomials associated with Fibonacci and Chebyshev polynomials. Zbl 1456.05007
Kilar, Neslihan; Simsek, Yilmaz
2021
Computational formulas and identities for new classes of Hermite-based Milne-Thomson type polynomials: analysis of generating functions with Euler’s formula. Zbl 1470.05017
Kilar, Neslihan; Simsek, Yilmaz
2021
Analysis of Apostol-type numbers and polynomials with their approximations and asymptotic behavior. Zbl 1476.11061
Simsek, Yilmaz
2021
Construction and computation of unified Stirling-type numbers emerging from $$p$$-adic integrals and symmetric polynomials. Zbl 1480.11027
Kucukoglu, Irem; Simsek, Yilmaz
2021
Matrix representations for a certain class of combinatorial numbers associated with Bernstein basis functions and cyclic derangements and their probabilistic and asymptotic analyses. Zbl 07472239
Kucukoglu, Irem; Simsek, Yilmaz
2021
Combinatorial sums involving Fubini type numbers and other special numbers and polynomials: approach trigonometric functions and $$p$$-adic integrals. Zbl 07540124
Kilar, Neslihan; Simsek, Yilmaz
2021
New integral formulas and identities involving special numbers and functions derived from certain class of special combinatorial sums. Zbl 1473.11055
Simsek, Yilmaz
2021
Miscellaneous formulae for the certain class of combinatorial sums and special numbers. Zbl 1476.11035
Simsek, Yilmaz
2021
Some new identities and inequalities for Bernoulli polynomials and numbers of higher order related to the Stirling and Catalan numbers. Zbl 1484.11072
Gun, Damla; Simsek, Yilmaz
2020
Dedekind and Hardy type sums and trigonometric sums induced by quadrature formulas. Zbl 07216532
2020
A new family of combinatorial numbers and polynomials associated with Peters numbers and polynomials. Zbl 1474.11073
Simsek, Yilmaz
2020
Identities for special numbers and polynomials involving Fibonacci-type polynomials and Chebyshev polynomials. Zbl 07540106
Kilar, Neslihan; Simsek, Yilmaz
2020
New classes of Catalan-type numbers and polynomials with their applications related to $$p$$-adic integrals and computational algorithms. Zbl 1493.05020
Küçükoğlu, İrem; Şimşek, Burçin; Şimşek, Yilmaz
2020
An approach to negative hypergeometric distribution by generating function for special numbers and polynomials. Zbl 1439.05011
Küçükoğlu, İrem; Şimşek, Burçin; Şimşek, Yılmaz
2019
A new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomials. Zbl 1446.11038
Kucukoğlu, Irem; Simsek, Yilmaz; Srivastava, H. M.
2019
Generating functions for finite sums involving higher powers of binomial coefficients: analysis of hypergeometric functions including new families of polynomials and numbers. Zbl 1461.33003
Simsek, Yilmaz
2019
Formulas for Poisson-Charlier, Hermite, Milne-Thomson and other type polynomials by their generating functions and $$p$$-adic integral approach. Zbl 1429.11046
Simsek, Yilmaz
2019
Peters type polynomials and numbers and their generating functions: approach with $$p$$-adic integral method. Zbl 1453.11033
Simsek, Yilmaz
2019
Identities and relations on the $$q$$-Apostol type Frobenius-Euler numbers and polynomials. Zbl 1410.05012
Kucukoglu, Irem; Simsek, Yilmaz
2019
On generating functions for Boole type polynomials and numbers of higher order and their applications. Zbl 1423.05009
Simsek, Yilmaz; So, Ji Suk
2019
Multidimensional Bernstein polynomials and Bézier curves: analysis of machine learning algorithm for facial expression recognition based on curvature. Zbl 1428.68277
Kucukoglu, Irem; Simsek, Buket; Simsek, Yilmaz
2019
Relations on Bernoulli and Euler polynomials related to trigonometric functions. Zbl 1463.11067
Kilar, Neslihan; Simsek, Yilmaz
2019
On interpolation functions for the number of $$k$$-ary Lyndon words associated with the Apostol-Euler numbers and their applications. Zbl 1419.05019
Kucukoglu, Irem; Simsek, Yilmaz
2019
A class of polynomials and connections with Bernoulli’s numbers. Zbl 1473.11054
2019
Identities, inequalities for Boole-type polynomials: approach to generating functions and infinite series. Zbl 07459090
Simsek, Yilmaz; So, Ji Suk
2019
Identities for Dirichlet and Lambert-type series arising from the numbers of a certain special word. Zbl 07472219
Kucukoglu, Irem; Simsek, Yilmaz
2019
Identities and relations for Fubini type numbers and polynomials via generating functions and $$p$$-adic integral approach. Zbl 07476469
Kilar, Neslihan; Simsek, Yilmaz
2019
Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and $$p$$-adic $$q$$-integrals. Zbl 1438.11056
Şimşek, Yılmaz
2018
New families of special numbers for computing negative order Euler numbers and related numbers and polynomials. Zbl 1488.11072
Simsek, Yilmaz
2018
Special numbers and polynomials including their generating functions in umbral analysis methods. Zbl 1432.05018
Simsek, Yilmaz
2018
Construction method for generating functions of special numbers and polynomials arising from analysis of new operators. Zbl 06986336
Simsek, Yilmaz
2018
Observations on identities and relations for interpolation functions and special numbers. Zbl 1413.05010
Kucukoglu, Irem; Simsek, Yilmaz
2018
Combinatorial sums and binomial identities associated with the beta-type polynomials. Zbl 1488.05014
Şimşek, Yılmaz
2018
Computation of $$k$$-ary Lyndon words using generating functions and their differential equations. Zbl 07473992
Kucukoglu, Irem; Simsek, Yilmaz
2018
Numerical evaluation of special power series including the numbers of Lyndon words: an approach to interpolation functions for Apostol-type numbers and polynomials. Zbl 1477.68253
Kucukoglu, Irem; Simsek, Yilmaz
2018
Remarks on recurrence formulas for the Apostol-type numbers and polynomials. Zbl 1414.05027
Kucukoglu, Irem; Simsek, Yilmaz
2018
Generating functions for unification of the multidimensional Bernstein polynomials and their applications. Zbl 1433.11024
Simsek, Yilmaz
2018
Identities on the Changhee numbers and Apostol-type Daehee polynomials. Zbl 1371.11060
Simsek, Yilmaz
2017
Generating functions for special polynomials and numbers including Apostol-type and Humbert-type polynomials. Zbl 1373.05012
Ozdemir, Gulsah; Simsek, Yilmaz; Milovanović, Gradimir V.
2017
Partial differential equations for a new family of numbers and polynomials unifying the Apostol-type numbers and the Apostol-type polynomials. Zbl 1369.05009
Srivastava, H. M.; Kucukoğlu, Irem; Simsek, Yilmaz
2017
Computation methods for combinatorial sums and Euler-type numbers related to new families of numbers. Zbl 1430.11033
Simsek, Yilmaz
2017
A new family of Fubini type numbers and polynomials associated with Apostol-Bernoulli numbers and polynomials. Zbl 1426.11014
Kilar, Neslihan; Simsek, Yilmaz
2017
Identities and relations related to combinatorial numbers and polynomials. Zbl 1407.11041
Simsek, Yilmaz
2017
$$k$$-ary Lyndon words and necklaces arising as rational arguments of Hurwitz-Lerch zeta function and Apostol-Bernoulli polynomials. Zbl 1404.05010
Kucukoglu, Irem; Bayad, Abdelmejid; Simsek, Yilmaz
2017
A continued fraction of Ramanujan and some Ramanujan-Weber class invariants. Zbl 07452526
Adiga, Chandrashekar; Bulkhali, Nasser Abdo Saeed; Simsek, Yilmaz; Srivastava, H. M.
2017
New families of special numbers and polynomials arising from applications of $$p$$-adic $$q$$-integrals. Zbl 1422.11044
Kim, Daeyeoul; Ozden Ayna, Hacer; Simsek, Yilmaz; Yardimci, Ahmet
2017
On generating functions for the special polynomials. Zbl 1488.11059
Simsek, Yilmaz
2017
Identities for Korobov-type polynomials arising from functional equations and $$p$$-adic integrals. Zbl 1412.11048
Yardimci, Ahmet; Simsek, Yilmaz
2017
Apostol type Daehee numbers and polynomials. Zbl 1404.11021
Simsek, Yilmaz
2016
Applications on the Apostol-Daehee numbers and polynomials associated with special numbers, polynomials, and $$p$$-adic integrals. Zbl 1419.11044
Simsek, Yilmaz; Yardimci, Ahmet
2016
Analysis of the $$p$$-adic $$q$$-Volkenborn integrals: an approach to generalized Apostol-type special numbers and polynomials and their applications. Zbl 1426.11015
Simsek, Yilmaz
2016
Generating functions for two-variable polynomials related to a family of Fibonacci type polynomials and numbers. Zbl 1459.11044
Ozdemir, Gulsah; Simsek, Yilmaz
2016
A note on generating functions for the unification of the Bernstein type basis functions. Zbl 1474.33009
Kucukoglu, Irem; Simsek, Yilmaz
2016
Third and higher order convolution identities for Cauchy numbers. Zbl 1446.11041
Komatsu, Takao; Simsek, Yilmaz
2016
Combinatorial identities associated with Bernstein type basis functions. Zbl 1433.11023
Simsek, Yilmaz
2016
Analysis of the Bernstein basis functions: an approach to combinatorial sums involving binomial coefficients and Catalan numbers. Zbl 1331.05024
Simsek, Yilmaz
2015
Hermite base Bernoulli type polynomials on the umbral algebra. Zbl 1318.33015
Dere, R.; Simsek, Y.
2015
Beta-type polynomials and their generating functions. Zbl 1410.11012
Simsek, Yilmaz
2015
Generalization of $$q$$-Apostol-type Eulerian numbers and polynomials, and their interpolation functions. Zbl 1378.11030
Cangül, I. Naci; Cevik, A. Sinan; Simsek, Yilmaz
2015
On Bernstein type polynomials and their applications. Zbl 1350.33017
Simsek, Yilmaz; Gunay, Melih
2015
Generating functions for the Bernstein type polynomials: a new approach to deriving identities and applications for the polynomials. Zbl 1369.33010
Şimşek, Yılmaz
2014
Modification and unification of the Apostol-type numbers and polynomials and their applications. Zbl 1334.11015
Ozden, Hacer; Simsek, Yilmaz
2014
Some array type polynomials associated with special numbers and polynomials. Zbl 1335.33003
Bayad, Abdelmejid; Simsek, Yilmaz; Srivastava, H. M.
2014
Generating functions for the $$q$$-Bernstein bases. Zbl 1304.65264
Goldman, Ron; Simeonov, Plamen; Simsek, Yilmaz
2014
A new class of polynomials associated with Bernstein and beta polynomials. Zbl 1303.33013
Simsek, Yilmaz
2014
Unified presentation of $$p$$-adic $$L$$-functions associated with unification of the special numbers. Zbl 1324.11023
Özden, H.; Simsek, Y.
2014
Deriving novel formulas and identities for the Bernstein basis functions and their generating functions. Zbl 1356.65041
Simsek, Yilmaz
2014
Modified Apostol-type polynomials arising from umbral calculus. Zbl 1306.05017
Mansour, Toufik; Ozden, Hacer; Simsek, Yilmaz
2014
Families of twisted Bernoulli numbers, twisted Bernoulli polynomials, and their applications. Zbl 1375.11022
Simsek, Yilmaz
2014
Convolution identities on the Apostol-Hermite base of two variables polynomials. Zbl 1296.33016
2014
On the generalized Apostol-type Frobenius-Euler polynomials. Zbl 1365.05013
Kurt, Burak; Simsek, Yilmaz
2013
Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications. Zbl 1293.11044
Simsek, Yilmaz
2013
A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral algebra. Zbl 1295.11023
Dere, Rahime; Simsek, Yilmaz; Srivastava, H. M.
2013
Functional equations from generating functions: a novel approach to deriving identities for the Bernstein basis functions. Zbl 1297.44002
Simsek, Yilmaz
2013
A new approach to connect algebra with analysis: relationships and applications between presentations and generating functions. Zbl 1319.11009
Cangül, Ismail Naci; Çevik, Ahmet Sinan; Şimşek, Yılmaz
2013
Identities associated with generalized Stirling type numbers and Eulerian type polynomials. Zbl 1390.33024
Simsek, Yilmaz
2013
Unification of the Bernstein-type polynomials and their applications. Zbl 1319.11012
Simsek, Yilmaz
2013
Unified representation of the family of $$L$$-functions. Zbl 1284.11121
Özden, Hacer; Simsek, Yilmaz
2013
Generating function for $$q$$-Eulerian polynomials and their decomposition and applications. Zbl 1284.05041
Alkan, Mustafa; Simsek, Yilmaz
2013
On the Hermite base Genocchi polynomials. Zbl 1275.11044
Kurt, Burak; Simsek, Yilmaz
2013
Analysis approach to finite monoids. Zbl 1373.20070
Çevik, A. Sinan; Cangül, Ismail Naci; Şimşek, Yılmaz
2013
Interpolation functions of the Eulerian type polynomials and numbers. Zbl 1376.11017
Simsek, Yilmaz
2013
Values of twisted Barnes zeta functions at negative integers. Zbl 1276.11145
2013
Some array polynomials over special monoid presentations. Zbl 1355.20042
Çevik, Ahmet Sinan; Das, Kinkar Chandra; Simsek, Yilmaz; Cangül, Ismail Naci
2013
Generalized $$q$$-Stirling numbers and their interpolation functions. Zbl 1316.11017
Özden, Hacer; Cangül, Ismail Naci; Simsek, Yilmaz
2013
Normalized polynomials and their multiplication formulas. Zbl 1365.05030
Dere, Rahime; Simsek, Yilmaz
2013
Applications of umbral algebra to some special polynomials. Zbl 1270.11018
Dere, Rahime; Simsek, Yilmaz
2012
Some families of Genocchi type polynomials and their interpolation functions. Zbl 1253.05021
Srivastava, H. M.; Kurt, Burak; Simsek, Yilmaz
2012
Generating functions for $$q$$-Apostol type Frobenius-Euler numbers and polynomials. Zbl 1294.11025
Simsek, Yilmaz
2012
$$q$$-Bernstein polynomials related to $$q$$-Frobenius-Euler polynomials, $$l$$-functions, and $$q$$-Stirling numbers. Zbl 1262.11039
Simsek, Yilmaz; Bayad, Abdelmejid; Lokesha, V.
2012
Interpolation function of generalized $$q$$-Bernstein-type basis polynomials and applications. Zbl 1352.65067
Simsek, Yilmaz
2012
A unified presentation of certain meromorphic functions related to the families of the partial zeta type functions and the $$L$$-functions. Zbl 1311.30008
Srivastava, H. M.; Özden, Hacer; Cangül, Ismail Naci; Simsek, Yilmaz
2012
Genocchi polynomials associated with the umbral algebra. Zbl 1229.11036
Dere, Rahime; Simsek, Yilmaz
2011
Construction a new generating function of Bernstein type polynomials. Zbl 1225.30003
Simsek, Yilmaz
2011
Notes on generalization of the Bernoulli type polynomials. Zbl 1269.11023
Kurt, Burak; Simsek, Yilmaz
2011
Unification of multiple Lerch-zeta type functions. Zbl 1270.11088
Aygüneş, A. Ahmet; Simsek, Yilmaz
2011
Dedekind sums involving Jacobi modular forms and special values of Barnes zeta functions. (Sommes de Dedekind liées aux formes modulaires de Jacobi et aux valeurs spéciales des fonctions zêta de Barnes.) Zbl 1279.11044
2011
A generalization of the Widder potential transform and applications. Zbl 1228.44006
Dernek, Neşe; Kurt, Veli; Şimşek, Yılmaz; Yürekli, Osman
2011
The action of Hecke operators to families of Weierstrass-type functions and Weber-type functions and their applications. Zbl 1247.11056
Aygunes, A. Ahmet; Simsek, Yilmaz
2011
A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials. Zbl 1207.33015
Özden, Hacer; Simsek, Yilmaz; Srivastava, H. M.
2010
...and 69 more Documents
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### Cited by 504 Authors

 212 Kim, Taekyun 128 Kim, Dae San 111 Simsek, Yilmaz 38 Rim, Seog-Hoon 35 Araci, Serkan 33 Ryoo, Cheon Seoung 30 Acikgoz, Mehmet 30 Srivastava, Hari Mohan 19 Kim, Hanyoung 19 Kucukoglu, Irem 19 Kwon, JongKyum 18 Kim, Minsoo 17 Khan, Waseem Ahmad 17 Kim, Daeyeoul 17 Kim, Young Hee Yun 16 Lee, Sang Hun 15 Dolgiĭ, Dmitriĭ Viktorovich 14 Kwon, Hyuck In 14 Lee, Hyunseok 14 Ozden, Hacer 13 Bayad, Abdelmejid 13 Cangul, Ismail Naci 12 Kang, Jung-Yoog 11 Hwang, Kyung-Won 11 Jung, Nam Soon 11 Lee, Hui Young 10 Duran, Ugur 10 Jang, Lee-Chae 10 Kurt, Veli 9 Jang, Gwan-Woo 9 Lee, Byungje 8 Luo, Qiuming 8 Yan, Zuomao 7 Choi, Junesang 7 Khan, Nabiullah U. 7 Kilar, Neslihan 7 Kim, Hyekyung 7 Komatsu, Takao 7 Lim, Dongkyu 7 Mahmudov, Nazim Idrisoglu 7 Mansour, Toufik 7 Ozarslan, Mehmet Ali 6 He, Yuan 6 Kim, Byungmoon 6 Kim, Dojin 6 Kim, Wonjoo 6 Kurt, Burak 6 Pyo, Sung-Soo 6 Riyasat, Mumtaz 6 Usman, Talha 5 Caristi, Giuseppe 5 Heidarkhani, Shapour 5 Khan, Subuhi 5 Lu, Daqian 5 Ma, Yuankui 5 Park, Kyoung Ho 5 Pathan, Mahmood Ahmad 4 Afrouzi, Ghasem Alizadeh 4 Ağyüz, Erkan 4 Aygunes, Aykut Ahmet 4 Can, Mumun 4 Çevik, Ahmet Sinan 4 Choi, Jongsung 4 Dere, Rahime 4 Jeong, Joohee 4 Lee, Sunjung 4 Lu, Fangxia 4 Moradi, Shahin 4 Qi, Feng 4 Son, Jin-Woo 3 Băleanu, Dumitru I. 3 Bhrawy, Ali Hassan 3 Cenkci, Mehmet 3 Dağli, Muhammet Cihat 3 Doha, Eid H. 3 El-Desouky, Beih S. 3 Erdal, Dilek 3 Ferrara, Massimiliano 3 Gaboury, Sébastien 3 Hu, Su 3 Jang, Leechae 3 Jolany, Hassan 3 Khan, Idrees A. 3 Lee, Jeong-Gon 3 Li, Tongxing 3 Liu, Guodong 3 Milovanović, Gradimir V. 3 Moon, Eun Jung 3 Nahid, Tabinda 3 Ortega, María José 3 Ramírez, William 3 Sharma, Sunil Kumar 3 Simsek, Buket 3 So, Jisuk 3 Urieles, Alejandro 3 Wang, Jinrong 3 Xia, Zhinan 3 Yardimci, Ahmet 3 Zhang, Chenghui 2 Adell, José Antonio ...and 404 more Authors
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### Cited in 141 Serials

 112 Advances in Difference Equations 69 Journal of Inequalities and Applications 46 Abstract and Applied Analysis 33 Applied Mathematics and Computation 26 Filomat 25 Russian Journal of Mathematical Physics 25 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 18 Journal of Number Theory 18 Discrete Dynamics in Nature and Society 16 International Journal of Mathematics and Mathematical Sciences 16 Turkish Journal of Mathematics 16 Symmetry 15 AIMS Mathematics 14 Journal of Applied Mathematics & Informatics 11 Journal of Mathematical Analysis and Applications 10 Applicable Analysis and Discrete Mathematics 10 Journal of Nonlinear Science and Applications 9 Fixed Point Theory and Applications 9 Open Mathematics 7 Computers & Mathematics with Applications 6 Applicable Analysis 5 Mathematical Methods in the Applied Sciences 5 Applied Mathematics Letters 5 Journal of Difference Equations and Applications 5 The Ramanujan Journal 5 Journal of Applied Mathematics 5 Mediterranean Journal of Mathematics 5 Boundary Value Problems 5 Complex Variables and Elliptic Equations 5 Axioms 5 Mathematics 4 Rocky Mountain Journal of Mathematics 4 Quaestiones Mathematicae 4 Integral Transforms and Special Functions 4 Hacettepe Journal of Mathematics and Statistics 3 Indian Journal of Pure & Applied Mathematics 3 Journal of Computational and Applied Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Publications de l’Institut Mathématique. Nouvelle Série 3 Acta Mathematica Hungarica 3 International Journal of Computer Mathematics 3 Integers 3 Kragujevac Journal of Mathematics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Journal of Applied Mathematics and Computing 3 International Journal of Number Theory 3 Tbilisi Mathematical Journal 3 Palestine Journal of Mathematics 3 Journal of Function Spaces 3 International Journal of Applied and Computational Mathematics 2 Discrete Mathematics 2 Ukrainian Mathematical Journal 2 Journal of the Korean Mathematical Society 2 Results in Mathematics 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Georgian Mathematical Journal 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Vietnam Journal of Mathematics 2 Honam Mathematical Journal 2 Iranian Journal of Science and Technology. Transaction A: Science 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Mathematical Biosciences and Engineering 2 Stochastics 2 Journal of Fixed Point Theory and Applications 2 Afrika Matematika 2 Mathematical Sciences 2 Cogent Mathematics 2 DML. Discrete Mathematics Letters 1 Discrete Applied Mathematics 1 International Journal of Control 1 Journal of Mathematical Physics 1 Periodica Mathematica Hungarica 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Collectanea Mathematica 1 Demonstratio Mathematica 1 Fasciculi Mathematici 1 Glasgow Mathematical Journal 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of Optimization Theory and Applications 1 Kyungpook Mathematical Journal 1 Mathematica Slovaca 1 Monatshefte für Mathematik 1 Numerical Functional Analysis and Optimization 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Ricerche di Matematica 1 Tamkang Journal of Mathematics 1 Advances in Applied Mathematics 1 Circuits, Systems, and Signal Processing 1 Computer Aided Geometric Design 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Numerical Algorithms 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics ...and 41 more Serials
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### Cited in 39 Fields

 597 Number theory (11-XX) 262 Combinatorics (05-XX) 166 Special functions (33-XX) 64 Ordinary differential equations (34-XX) 57 Real functions (26-XX) 38 Partial differential equations (35-XX) 29 Numerical analysis (65-XX) 26 Functions of a complex variable (30-XX) 21 Approximations and expansions (41-XX) 17 Probability theory and stochastic processes (60-XX) 16 Difference and functional equations (39-XX) 10 Field theory and polynomials (12-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Operator theory (47-XX) 10 Computer science (68-XX) 9 Integral transforms, operational calculus (44-XX) 7 Group theory and generalizations (20-XX) 7 Sequences, series, summability (40-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Systems theory; control (93-XX) 6 Biology and other natural sciences (92-XX) 5 Mechanics of deformable solids (74-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Abstract harmonic analysis (43-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Integral equations (45-XX) 3 Statistics (62-XX) 3 Fluid mechanics (76-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Measure and integration (28-XX) 2 General topology (54-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Functional analysis (46-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX)