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Author ID: simsek.yilmaz Recent zbMATH articles by "Simsek, Yilmaz"
Published as: Simsek, Yilmaz; Simsek, Y.; Şimşek, Yılmaz; Şimşek, Yilmaz; Simsek, Yılmaz
External Links: ORCID
Documents Indexed: 228 Publications since 1992, including 13 Additional arXiv Preprints
Reviewing Activity: 114 Reviews
Co-Authors: 60 Co-Authors with 150 Joint Publications
2,045 Co-Co-Authors
all top 5

Serials

33 Advanced Studies in Contemporary Mathematics (Kyungshang)
15 Filomat
11 Mathematical Methods in the Applied Sciences
11 Applied Mathematics and Computation
9 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
8 Advances in Difference Equations
7 Russian Journal of Mathematical Physics
7 Turkish Journal of Mathematics
7 Applicable Analysis and Discrete Mathematics
6 Journal of the Korean Mathematical Society
6 Journal of Inequalities and Applications
6 Fixed Point Theory and Applications
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 Mediterranean Journal of Mathematics
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 Communications of the Korean Mathematical Society
2 Journal of Nonlinear Mathematical Physics
2 Hacettepe Journal of Mathematics and Statistics
2 Journal of the Indonesian Mathematical Society
1 Discrete Applied 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 The Ramanujan Journal
1 Differential Equations and Dynamical Systems
1 Taiwanese Journal of Mathematics
1 Mathematical & Computational Applications
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 Applied and Computational Mathematics
1 Journal of Nonlinear Science and Applications
1 Journal of Algebra, Number Theory: Advances and Applications
1 Symmetry
1 Cogent Mathematics

Publications by Year

Citations contained in zbMATH Open

183 Publications have been cited 2,527 times in 798 Documents Cited by Year
On the generalized Apostol-type Frobenius-Euler polynomials. Zbl 1365.05013
Kurt, Burak; Simsek, Yilmaz
117
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.
94
2005
Twisted \((h,q)\)-Bernoulli numbers and polynomials related to twisted \((h,q)\)-zeta function and \(L\)-function. Zbl 1139.11051
Simsek, Yilmaz
77
2006
Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications. Zbl 1293.11044
Simsek, Yilmaz
74
2013
A new extension of \(q\)-Euler numbers and polynomials related to their interpolation functions. Zbl 1152.11009
Özden, Hacer; Simsek, Yilmaz
69
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.
69
2010
Generating functions of the twisted Bernoulli numbers and polynomials associated with their interpolation functions. Zbl 1173.11064
Simsek, Yilmaz
62
2008
\(q\)-analogue of twisted \(l\)-series and \(q\)-twisted Euler numbers. Zbl 1114.11019
Simsek, Yilmaz
60
2005
Complete sum of products of \((h,q)\)-extension of Euler polynomials and numbers. Zbl 1223.11027
Simsek, Yilmaz
56
2010
Identities on the Changhee numbers and Apostol-type Daehee polynomials. Zbl 1371.11060
Simsek, Yilmaz
56
2017
Remarks on \(q\)-Bernoulli numbers associated with Daehee numbers. Zbl 1188.05005
Özden, Hacer; Cangül, İsmail Naci; Simsek, Yilmaz
55
2009
Applications of umbral algebra to some special polynomials. Zbl 1270.11018
Dere, Rahime; Simsek, Yilmaz
54
2012
On \(p\)-adic twisted \(q\)-\(L\)-functions related to generalized twisted Bernoulli numbers. Zbl 1163.11312
Simsek, Y.
51
2006
Special functions related to Dedekind-type DC-sums and their applications. Zbl 1259.11045
Simsek, Y.
49
2010
Theorems on twisted \(L\)-function and twisted Bernoulli numbers. Zbl 1178.11058
Simsek, Yilmaz
41
2005
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
40
2008
On the higher-order \(w\)-\(q\)-Genocchi numbers. Zbl 1187.05004
Cangül, Ismail Naci; Kurt, Veli; Özden, Hacer; Simsek, Yilmaz
40
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.
40
2013
Twisted Dedekind type sums associated with Barnes’ type multiple Frobenius-Euler \(L\)-functions. Zbl 1198.11044
Can, Mumun; Cenkci, Mehmet; Kurt, Veli; Simsek, Yilmaz
39
2009
Some families of Genocchi type polynomials and their interpolation functions. Zbl 1253.05021
Srivastava, H. M.; Kurt, Burak; Simsek, Yilmaz
36
2012
Multivariate interpolation functions of higher-order \(q\)-Euler numbers and their applications. Zbl 1140.11313
Özden, Hacer; Cangül, Ismail Naci; Simsek, Yilmaz
35
2008
A new generating function of (\(q\)-) Bernstein-type polynomials and their interpolation function. Zbl 1185.33013
Simsek, Yilmaz; Açıkgöz, Mehmet
35
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
29
2007
\(q\)-Dedekind type sums related to \(q\)-zeta function and basic \(L\)-series. Zbl 1149.11054
Simsek, Yilmaz
28
2006
Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and \(p\)-adic \(q\)-integrals. Zbl 1438.11056
Şimşek, Yılmaz
26
2018
New families of special numbers for computing negative order Euler numbers and related numbers and polynomials. Zbl 1488.11072
Simsek, Yilmaz
26
2018
Generating functions of the \((h,q)\) extension of twisted Euler polynomials and numbers. Zbl 1174.11025
Cangül, I. N.; Özden, H.; Simsek, Y.
25
2008
A note on \(p\)-adic \(q\)-Euler measure. Zbl 1143.11008
Özden, Hacer; Simsek, Yilmaz; Rim, Seog-Hoon; Cangül, Ismail Naci
24
2007
On interpolation functions of the twisted generalized Frobenius-Euler numbers. Zbl 1217.11115
Simsek, Yilmaz; Yurekli, Osman; Kurt, Veli
23
2007
On twisted \(q\)-Hurwitz zeta function and \(q\)-two-variable \(L\)-function. Zbl 1143.11032
Simsek, Yilmaz
22
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.
22
2017
Further remarks on multiple \(p\)-adic \(q\)-\(L\)-function of two variables. Zbl 1143.11043
Cenkci, Mehmet; Simsek, Yilmaz; Kurt, Veli
21
2007
Generating functions for \(q\)-Apostol type Frobenius-Euler numbers and polynomials. Zbl 1294.11025
Simsek, Yilmaz
21
2012
Analysis of the Bernstein basis functions: an approach to combinatorial sums involving binomial coefficients and Catalan numbers. Zbl 1331.05024
Simsek, Yilmaz
20
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
20
2017
Modification and unification of the Apostol-type numbers and polynomials and their applications. Zbl 1334.11015
Ozden, Hacer; Simsek, Yilmaz
19
2014
Apostol type Daehee numbers and polynomials. Zbl 1404.11021
Simsek, Yilmaz
19
2016
A new approach to \(q\)-Genocchi numbers and their interpolation functions. Zbl 1238.11017
Cangül, İsmail Naci; Özden, Hacer; Simsek, Yilmaz
18
2009
Genocchi polynomials associated with the umbral algebra. Zbl 1229.11036
Dere, Rahime; Simsek, Yilmaz
18
2011
\(q\)-Bernstein polynomials related to \(q\)-Frobenius-Euler polynomials, \(l\)-functions, and \(q\)-Stirling numbers. Zbl 1262.11039
Simsek, Yilmaz; Bayad, Abdelmejid; Lokesha, V.
18
2012
Computation methods for combinatorial sums and Euler-type numbers related to new families of numbers. Zbl 1430.11033
Simsek, Yilmaz
18
2017
Euler polynomials associated with \(p\)-adic \(q\)-Euler measure. Zbl 1155.11056
Özden, Hacer; Simsek, Yilmaz; Cangül, Ismail Naci
17
2007
A new family of Fubini type numbers and polynomials associated with Apostol-Bernoulli numbers and polynomials. Zbl 1426.11014
Kilar, Neslihan; Simsek, Yilmaz
17
2017
Generating functions for the Bernstein type polynomials: a new approach to deriving identities and applications for the polynomials. Zbl 1369.33010
Şimşek, Yılmaz
17
2014
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
16
2003
\(q\)-Hardy-Berndt type sums associated with \(q\)-Genocchi type zeta and \(q\)-\(l\)-functions. Zbl 1238.11030
Simsek, Yilmaz
16
2009
Twisted \(p\)-adic \((h,q)\)-\(L\)-functions. Zbl 1203.11079
Simsek, Yilmaz
16
2010
Functional equations from generating functions: a novel approach to deriving identities for the Bernstein basis functions. Zbl 1297.44002
Simsek, Yilmaz
16
2013
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
16
2016
Some array type polynomials associated with special numbers and polynomials. Zbl 1335.33003
Bayad, Abdelmejid; Simsek, Yilmaz; Srivastava, H. M.
16
2014
Identities and relations related to combinatorial numbers and polynomials. Zbl 1407.11041
Simsek, Yilmaz
16
2017
Interpolation function of the \((h,q)\)-extension of twisted Euler numbers. Zbl 1155.11015
Özden, Hacer; Simsek, Yilmaz
15
2008
An approach to negative hypergeometric distribution by generating function for special numbers and polynomials. Zbl 1439.05011
Küçükoğlu, İrem; Şimşek, Burçin; Şimşek, Yılmaz
15
2019
\(q\)-Genocchi numbers and polynomials associated with \(q\)-Genocchi-type \(l\)-functions. Zbl 1140.33308
Simsek, Yilmaz; Cangül, Ismail Naci; Kurt, Veli; Kim, Daeyeoul
14
2008
A note on the alternating sums of powers of consecutive \(q\)-integers. Zbl 1201.11108
Kim, Taekyun; Rim, Seog-Hoon; Simsek, Yilmaz
14
2006
Construction a new generating function of Bernstein type polynomials. Zbl 1225.30003
Simsek, Yilmaz
14
2011
Multiple two-variable \(p\)-adic \(q\)-\(L\)-function and its behavior at \(s=0\). Zbl 1192.11079
Cenkci, M.; Simsek, Y.; Kurt, V.
14
2008
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
14
2019
Hermite base Bernoulli type polynomials on the umbral algebra. Zbl 1318.33015
Dere, R.; Simsek, Y.
14
2015
Remarks on sum of products of \((h,q)\)-twisted Euler polynomials and numbers. Zbl 1140.11314
Özden, Hacer; Cangül, Ismail Naci; Simsek, Yilmaz
13
2008
On \(q\)-analogues of the twisted \(L\)-functions and \(q\)-twisted Bernoulli numbers. Zbl 1043.11066
Simsek, Yilmaz
13
2003
Applications on the Apostol-Daehee numbers and polynomials associated with special numbers, polynomials, and \(p\)-adic integrals. Zbl 1419.11044
Simsek, Yilmaz; Yardimci, Ahmet
13
2016
Generating functions for the \(q\)-Bernstein bases. Zbl 1304.65264
Goldman, Ron; Simeonov, Plamen; Simsek, Yilmaz
13
2014
Interpolation function of generalized \(q\)-Bernstein-type basis polynomials and applications. Zbl 1352.65067
Simsek, Yilmaz
12
2012
Remarks on reciprocity laws of the Dedekind and Hardy sums. Zbl 1094.11017
Simsek, Yilmaz
11
2006
A family of \(p\)-adic twisted interpolation functions associated with the modified Bernoulli numbers. Zbl 1211.11133
Simsek, Yilmaz; Srivastava, H. M.
11
2010
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.
11
2019
Analytic continuation of the multiple Daehee \(q\)-\(l\)-functions associated with Daehee numbers. Zbl 1196.11157
Kim, Taekyun; Simsek, Yilmaz
11
2008
On twisted generalized Euler numbers. Zbl 1143.11305
Simsek, Yilmaz
11
2004
On the two-variable Dirichlet \(q\)-\(L\)-series. Zbl 1073.11071
Simsek, Yilmaz; Kim, Daeyeoul; Rim, Seog-Hoon
11
2005
A continued fraction of Ramanujan and some Ramanujan-Weber class invariants. Zbl 1499.11029
Adiga, Chandrashekar; Bulkhali, Nasser Abdo Saeed; Simsek, Yilmaz; Srivastava, H. M.
11
2017
Generating functions for two-variable polynomials related to a family of Fibonacci type polynomials and numbers. Zbl 1459.11044
Ozdemir, Gulsah; Simsek, Yilmaz
10
2016
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
10
2019
On \((i,q)\) Bernoulli and Euler numbers. Zbl 1152.11008
Cenkci, M.; Kurt, V.; Rim, S. H.; Simsek, Y.
9
2008
Notes on generalization of the Bernoulli type polynomials. Zbl 1269.11023
Kurt, Burak; Simsek, Yilmaz
9
2011
On multiple interpolation functions of the Nörlund-type \(q\)-Euler polynomials. Zbl 1194.11027
Açıkgöz, Mehmet; Simsek, Yilmaz
9
2009
Peters type polynomials and numbers and their generating functions: approach with \(p\)-adic integral method. Zbl 1453.11033
Simsek, Yilmaz
9
2019
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.
8
2004
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
8
2013
A new class of polynomials associated with Bernstein and beta polynomials. Zbl 1303.33013
Simsek, Yilmaz
8
2014
\(k\)-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
8
2017
Identities associated with generalized Stirling type numbers and Eulerian type polynomials. Zbl 1390.33024
Simsek, Yilmaz
8
2013
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
8
2020
The behavior of the twisted \(p\)-adic \((h,q)\)-\(L\)-functions at \(s=0\). Zbl 1143.11009
Simsek, Yilmaz
7
2007
On the behavior of two variable twisted \(p\)-adic Euler \(q\)-\(l\)-functions. Zbl 1238.11025
Özden, Hacer; Cangül, İsmail Naci; Simsek, Yilmaz
7
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
7
2007
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
7
2010
Beta-type polynomials and their generating functions. Zbl 1410.11012
Simsek, Yilmaz
7
2015
A note on generating functions for the unification of the Bernstein type basis functions. Zbl 1474.33009
Kucukoglu, Irem; Simsek, Yilmaz
7
2016
Multiple interpolation functions of higher order \((h,q)\)-Bernoulli numbers. Zbl 1192.11012
Simsek, Yilmaz
7
2008
On generating functions for Boole type polynomials and numbers of higher order and their applications. Zbl 1423.05009
Simsek, Yilmaz; So, Ji Suk
7
2019
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
7
2021
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
Bayad, Abdelmejid; Simsek, Yilmaz
6
2011
Unified representation of the family of \(L\)-functions. Zbl 1284.11121
Özden, Hacer; Simsek, Yilmaz
6
2013
Unification of the Bernstein-type polynomials and their applications. Zbl 1319.11012
Simsek, Yilmaz
6
2013
Generating function for \(q\)-Eulerian polynomials and their decomposition and applications. Zbl 1284.05041
Alkan, Mustafa; Simsek, Yilmaz
6
2013
Unification of multiple Lerch-zeta type functions. Zbl 1270.11088
Aygüneş, A. Ahmet; Simsek, Yilmaz
6
2011
Identities and relations on the \(q\)-Apostol type Frobenius-Euler numbers and polynomials. Zbl 1410.05012
Kucukoglu, Irem; Simsek, Yilmaz
6
2019
Generalized Dedekind sums associated with the Abel sum and the Einstein and Lambert series. Zbl 1064.11036
Simsek, Yilmaz
6
2004
Barnes’ type multiple Changhee \(q\)-zeta functions. Zbl 1088.11088
Simsek, Yilmaz; Kim, Taekyun; Pyung, In-Soo
6
2005
Analysis of generating functions for special words and numbers and algorithms for computation. Zbl 07648632
Kucukoglu, Irem; Milovanović, Gradimir V.; Simsek, Yilmaz
1
2022
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
7
2021
Identities and relations for Hermite-based Milne-Thomson polynomials associated with Fibonacci and Chebyshev polynomials. Zbl 1456.05007
Kilar, Neslihan; Simsek, Yilmaz
4
2021
Construction and computation of unified Stirling-type numbers emerging from \(p\)-adic integrals and symmetric polynomials. Zbl 1480.11027
Kucukoglu, Irem; Simsek, Yilmaz
4
2021
Analysis of Apostol-type numbers and polynomials with their approximations and asymptotic behavior. Zbl 1476.11061
Simsek, Yilmaz
2
2021
Construction of generalized Leibnitz type numbers and their properties. Zbl 1499.05049
Simsek, Yilmaz
2
2021
New integral formulas and identities involving special numbers and functions derived from certain class of special combinatorial sums. Zbl 1473.11055
Simsek, Yilmaz
1
2021
Some certain classes of combinatorial numbers and polynomials attached to Dirichlet characters: their construction by \(p\)-adic integration and applications to probability distribution functions. Zbl 1508.11037
Simsek, Yilmaz; Kucukoglu, Irem
1
2021
New computational formulas for special numbers and polynomials derived from applying trigonometric functions to generating functions. Zbl 1476.11044
Kilar, Neslihan; Simsek, Yilmaz
1
2021
Miscellaneous formulae for the certain class of combinatorial sums and special numbers. Zbl 1476.11035
Simsek, Yilmaz
1
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 1499.05041
Kucukoglu, Irem; Simsek, Yilmaz
1
2021
Combinatorial sums involving Fubini type numbers and other special numbers and polynomials: approach trigonometric functions and \(p\)-adic integrals. Zbl 1499.05039
Kilar, Neslihan; Simsek, Yilmaz
1
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
8
2020
Dedekind and Hardy type sums and trigonometric sums induced by quadrature formulas. Zbl 07216532
Milovanović, Gradimir V.; Simsek, Yilmaz
5
2020
A new family of combinatorial numbers and polynomials associated with Peters numbers and polynomials. Zbl 1474.11073
Simsek, Yilmaz
5
2020
Combinatorial sums involving Stirling, Fubini, Bernoulli numbers and approximate values of Catalan numbers. Zbl 1499.05009
Gun, Damla; Simsek, Yilmaz
4
2020
On Boole-type combinatorial numbers and polynomials. Zbl 1499.05023
Simsek, Yilmaz
3
2020
A special approach to derive new formulas for some special numbers and polynomials. Zbl 1493.05019
Kilar, Neslihan; Şimşek, Yilmaz
3
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
3
2020
Identities for special numbers and polynomials involving Fibonacci-type polynomials and Chebyshev polynomials. Zbl 1499.05038
Kilar, Neslihan; Simsek, Yilmaz
2
2020
Formulas involving sums of powers, special numbers and polynomials arising from \(p\)-adic integrals, trigonometric and generating functions. Zbl 1476.11043
Kilar, Neslihan; Simsek, Yilmaz
1
2020
Identities and relations for special numbers and polynomials: an approach to trigonometric functions. Zbl 1499.05037
Kilar, Neslihan; Simsek, Yilmaz
1
2020
A survey on some old and new identities associated with Laplace distribution and Bernoulli numbers. Zbl 1499.05028
Askan, Zehra Selin; Kucukoglu, Irem; Simsek, Yilmaz
1
2020
An approach to negative hypergeometric distribution by generating function for special numbers and polynomials. Zbl 1439.05011
Küçükoğlu, İrem; Şimşek, Burçin; Şimşek, Yılmaz
15
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
14
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.
11
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
10
2019
Peters type polynomials and numbers and their generating functions: approach with \(p\)-adic integral method. Zbl 1453.11033
Simsek, Yilmaz
9
2019
On generating functions for Boole type polynomials and numbers of higher order and their applications. Zbl 1423.05009
Simsek, Yilmaz; So, Ji Suk
7
2019
Identities and relations on the \(q\)-Apostol type Frobenius-Euler numbers and polynomials. Zbl 1410.05012
Kucukoglu, Irem; Simsek, Yilmaz
6
2019
Identities, inequalities for Boole-type polynomials: approach to generating functions and infinite series. Zbl 1499.05050
Simsek, Yilmaz; So, Ji Suk
6
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
5
2019
Identities and relations for Fubini type numbers and polynomials via generating functions and \(p\)-adic integral approach. Zbl 1499.05036
Kilar, Neslihan; Simsek, Yilmaz
4
2019
A class of polynomials and connections with Bernoulli’s numbers. Zbl 1473.11054
Milovanović, Gradimir V.; Simsek, Yilmaz; Stojanović, Vladica S.
3
2019
Relations on Bernoulli and Euler polynomials related to trigonometric functions. Zbl 1463.11067
Kilar, Neslihan; Simsek, Yilmaz
3
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
2
2019
On a family of special numbers and polynomials associated with Apostol-type numbers and polynomials and combinatorial numbers. Zbl 1513.05023
Kucukoglu, Irem; Simsek, Yilmaz
1
2019
Identities for Dirichlet and Lambert-type series arising from the numbers of a certain special word. Zbl 1499.11152
Kucukoglu, Irem; Simsek, Yilmaz
1
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
26
2018
New families of special numbers for computing negative order Euler numbers and related numbers and polynomials. Zbl 1488.11072
Simsek, Yilmaz
26
2018
Construction method for generating functions of special numbers and polynomials arising from analysis of new operators. Zbl 06986336
Simsek, Yilmaz
5
2018
Special numbers and polynomials including their generating functions in umbral analysis methods. Zbl 1432.05018
Simsek, Yilmaz
5
2018
Combinatorial sums and binomial identities associated with the beta-type polynomials. Zbl 1488.05014
Şimşek, Yılmaz
4
2018
Generating functions for unification of the multidimensional Bernstein polynomials and their applications. Zbl 1433.11024
Simsek, Yilmaz
3
2018
Combinatorial identities and sums for special numbers and polynomials. Zbl 1499.05024
Simsek, Yilmaz
3
2018
Observations on identities and relations for interpolation functions and special numbers. Zbl 1413.05010
Kucukoglu, Irem; Simsek, Yilmaz
2
2018
Remarks on recurrence formulas for the Apostol-type numbers and polynomials. Zbl 1414.05027
Kucukoglu, Irem; Simsek, Yilmaz
2
2018
Computation of \(k\)-ary Lyndon words using generating functions and their differential equations. Zbl 1513.68042
Kucukoglu, Irem; Simsek, Yilmaz
2
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
1
2018
Identities associated with Milne-Thomson type polynomials and special numbers. Zbl 1497.05008
Simsek, Yilmaz; Cakic, Nenad
1
2018
Identities on the Changhee numbers and Apostol-type Daehee polynomials. Zbl 1371.11060
Simsek, Yilmaz
56
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.
22
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
20
2017
Computation methods for combinatorial sums and Euler-type numbers related to new families of numbers. Zbl 1430.11033
Simsek, Yilmaz
18
2017
A new family of Fubini type numbers and polynomials associated with Apostol-Bernoulli numbers and polynomials. Zbl 1426.11014
Kilar, Neslihan; Simsek, Yilmaz
17
2017
Identities and relations related to combinatorial numbers and polynomials. Zbl 1407.11041
Simsek, Yilmaz
16
2017
A continued fraction of Ramanujan and some Ramanujan-Weber class invariants. Zbl 1499.11029
Adiga, Chandrashekar; Bulkhali, Nasser Abdo Saeed; Simsek, Yilmaz; Srivastava, H. M.
11
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
8
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
5
2017
On generating functions for the special polynomials. Zbl 1488.11059
Simsek, Yilmaz
4
2017
Identities for Korobov-type polynomials arising from functional equations and \(p\)-adic integrals. Zbl 1412.11048
Yardimci, Ahmet; Simsek, Yilmaz
1
2017
Identities related to special polynomials and combinatorial numbers. Zbl 1499.11130
Yuluklu, Eda; Simsek, Yilmaz; Komatsu, Takao
1
2017
Apostol type Daehee numbers and polynomials. Zbl 1404.11021
Simsek, Yilmaz
19
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
16
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
13
2016
Generating functions for two-variable polynomials related to a family of Fibonacci type polynomials and numbers. Zbl 1459.11044
Ozdemir, Gulsah; Simsek, Yilmaz
10
2016
A note on generating functions for the unification of the Bernstein type basis functions. Zbl 1474.33009
Kucukoglu, Irem; Simsek, Yilmaz
7
2016
Third and higher order convolution identities for Cauchy numbers. Zbl 1446.11041
Komatsu, Takao; Simsek, Yilmaz
4
2016
Combinatorial identities associated with Bernstein type basis functions. Zbl 1433.11023
Simsek, Yilmaz
4
2016
Analysis of the Bernstein basis functions: an approach to combinatorial sums involving binomial coefficients and Catalan numbers. Zbl 1331.05024
Simsek, Yilmaz
20
2015
Hermite base Bernoulli type polynomials on the umbral algebra. Zbl 1318.33015
Dere, R.; Simsek, Y.
14
2015
Beta-type polynomials and their generating functions. Zbl 1410.11012
Simsek, Yilmaz
7
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
4
2015
On Bernstein type polynomials and their applications. Zbl 1350.33017
Simsek, Yilmaz; Gunay, Melih
1
2015
Modification and unification of the Apostol-type numbers and polynomials and their applications. Zbl 1334.11015
Ozden, Hacer; Simsek, Yilmaz
19
2014
Generating functions for the Bernstein type polynomials: a new approach to deriving identities and applications for the polynomials. Zbl 1369.33010
Şimşek, Yılmaz
17
2014
Some array type polynomials associated with special numbers and polynomials. Zbl 1335.33003
Bayad, Abdelmejid; Simsek, Yilmaz; Srivastava, H. M.
16
2014
Generating functions for the \(q\)-Bernstein bases. Zbl 1304.65264
Goldman, Ron; Simeonov, Plamen; Simsek, Yilmaz
13
2014
A new class of polynomials associated with Bernstein and beta polynomials. Zbl 1303.33013
Simsek, Yilmaz
8
2014
Unified presentation of \(p\)-adic \(L\)-functions associated with unification of the special numbers. Zbl 1324.11023
Özden, H.; Simsek, Y.
4
2014
Deriving novel formulas and identities for the Bernstein basis functions and their generating functions. Zbl 1356.65041
Simsek, Yilmaz
2
2014
Convolution identities on the Apostol-Hermite base of two variables polynomials. Zbl 1296.33016
Bayad, Abdelmejid; Simsek, Yilmaz
1
2014
Families of twisted Bernoulli numbers, twisted Bernoulli polynomials, and their applications. Zbl 1375.11022
Simsek, Yilmaz
1
2014
Modified Apostol-type polynomials arising from umbral calculus. Zbl 1306.05017
Mansour, Toufik; Ozden, Hacer; Simsek, Yilmaz
1
2014
On the generalized Apostol-type Frobenius-Euler polynomials. Zbl 1365.05013
Kurt, Burak; Simsek, Yilmaz
117
2013
Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications. Zbl 1293.11044
Simsek, Yilmaz
74
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.
40
2013
Functional equations from generating functions: a novel approach to deriving identities for the Bernstein basis functions. Zbl 1297.44002
Simsek, Yilmaz
16
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
8
2013
Identities associated with generalized Stirling type numbers and Eulerian type polynomials. Zbl 1390.33024
Simsek, Yilmaz
8
2013
Unified representation of the family of \(L\)-functions. Zbl 1284.11121
Özden, Hacer; Simsek, Yilmaz
6
2013
Unification of the Bernstein-type polynomials and their applications. Zbl 1319.11012
Simsek, Yilmaz
6
2013
Generating function for \(q\)-Eulerian polynomials and their decomposition and applications. Zbl 1284.05041
Alkan, Mustafa; Simsek, Yilmaz
6
2013
Interpolation functions of the Eulerian type polynomials and numbers. Zbl 1376.11017
Simsek, Yilmaz
5
2013
On the Hermite base Genocchi polynomials. Zbl 1275.11044
Kurt, Burak; Simsek, Yilmaz
5
2013
Analysis approach to finite monoids. Zbl 1373.20070
Çevik, A. Sinan; Cangül, Ismail Naci; Şimşek, Yılmaz
4
2013
Values of twisted Barnes zeta functions at negative integers. Zbl 1276.11145
Bayad, A.; Simsek, Y.
3
2013
Some array polynomials over special monoid presentations. Zbl 1355.20042
Çevik, Ahmet Sinan; Das, Kinkar Chandra; Simsek, Yilmaz; Cangül, Ismail Naci
2
2013
Generalized \(q\)-Stirling numbers and their interpolation functions. Zbl 1316.11017
Özden, Hacer; Cangül, Ismail Naci; Simsek, Yilmaz
2
2013
Normalized polynomials and their multiplication formulas. Zbl 1365.05030
Dere, Rahime; Simsek, Yilmaz
1
2013
...and 83 more Documents
all top 5

Cited by 553 Authors

226 Kim, Taekyun
139 Kim, Dae San
119 Simsek, Yilmaz
42 Jang, Lee-Chae
38 Rim, Seog-Hoon
35 Araci, Serkan
33 Ryoo, Cheon Seoung
32 Srivastava, Hari Mohan
31 Dolgiĭ, Dmitriĭ Viktorovich
30 Acikgoz, Mehmet
25 Kim, Young Hee
21 Kucukoglu, Irem
21 Kwon, JongKyum
19 Khan, Waseem Ahmad
19 Kim, Hanyoung
19 Kim, Minsoo
19 Lee, Sang Hun
18 Kim, Daeyeoul
15 Lee, Hyunseok
15 Park, Jin Woo
14 Bayad, Abdelmejid
14 Kwon, Hyuck In
14 Ozden, Hacer
13 Cangul, Ismail Naci
12 Kang, Jung-Yoog
11 Hwang, Kyung-Won
11 Jung, Nam Soon
11 Kim, Hyekyung
11 Lee, Hui Young
10 Duran, Ugur
10 Jang, Gwan-Woo
10 Kurt, Veli
9 Kilar, Neslihan
9 Lee, Byungje
9 Ozarslan, Mehmet Ali
8 Lim, Dongkyu
8 Luo, Qiuming
8 Mansour, Toufik
8 Seo, Jongjin
8 Yan, Zuomao
7 Choi, Junesang
7 Khan, Nabiullah U.
7 Komatsu, Takao
7 Mahmudov, Nazim Idrisoglu
6 Dağli, Muhammet Cihat
6 He, Yuan
6 Kim, Byungmoon
6 Kim, Dojin
6 Kim, Wonjoo
6 Kurt, Burak
6 Ma, Yuankui
6 Pyo, Sung-Soo
6 Riyasat, Mumtaz
6 Usman, Talha
5 Caristi, Giuseppe
5 Heidarkhani, Shapour
5 Khan, Subuhi
5 Lu, Daqian
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 Hu, Su
4 Jeong, Joohee
4 Lee, Sunjung
4 Lu, Fangxia
4 Milovanović, Gradimir V.
4 Moradi, Shahin
4 Qi, Feng
4 Son, Jin-Woo
3 Băleanu, Dumitru I.
3 Bhrawy, Ali Hassan
3 Boulaaras, Salah Mahmoud
3 Çekım, Bayram
3 Cenkci, Mehmet
3 Deo, Naokant
3 Doha, Eid H.
3 El-Desouky, Beih S.
3 Erdal, Dilek
3 Ferrara, Massimiliano
3 Gaboury, Sébastien
3 Goldman, Ronald N.
3 Jolany, Hassan
3 Khan, Idrees A.
3 Kızılateş, Can
3 Lee, Jeong-Gon
3 Li, Tongxing
3 Liu, Guodong
3 Moon, Eun Jung
3 Nahid, Tabinda
3 Ortega, María José
3 Park, Seongho
3 Ramírez, William
3 Sharma, Sunil Kumar
3 Simsek, Buket
...and 453 more Authors
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Cited in 148 Serials

114 Advances in Difference Equations
69 Journal of Inequalities and Applications
46 Abstract and Applied Analysis
33 Applied Mathematics and Computation
28 Russian Journal of Mathematical Physics
28 Filomat
28 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
17 International Journal of Mathematics and Mathematical Sciences
16 Turkish Journal of Mathematics
16 Symmetry
15 Mathematical Methods in the Applied Sciences
15 AIMS Mathematics
14 Journal of Applied Mathematics & Informatics
12 Journal of Mathematical Analysis and Applications
11 Applicable Analysis and Discrete Mathematics
11 Open Mathematics
10 Journal of Nonlinear Science and Applications
9 Fixed Point Theory and Applications
7 Computers & Mathematics with Applications
7 The Ramanujan Journal
6 Applicable Analysis
6 Journal of Applied Mathematics
6 Mediterranean Journal of Mathematics
5 Journal of Computational and Applied Mathematics
5 Publications de l’Institut Mathématique. Nouvelle Série
5 Quaestiones Mathematicae
5 Applied Mathematics Letters
5 Journal of Difference Equations and Applications
5 Hacettepe Journal of Mathematics and Statistics
5 Boundary Value Problems
5 Complex Variables and Elliptic Equations
5 Axioms
5 Mathematics
4 Rocky Mountain Journal of Mathematics
4 Ukrainian Mathematical Journal
4 Demonstratio Mathematica
4 Acta Mathematica Hungarica
4 Integral Transforms and Special Functions
4 Kragujevac Journal of Mathematics
4 Tbilisi Mathematical Journal
4 Palestine Journal of Mathematics
3 Discrete Applied Mathematics
3 Indian Journal of Pure & Applied Mathematics
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 International Journal of Computer Mathematics
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Journal of Applied Mathematics and Computing
3 Boletim da Sociedade Paranaense de Matemática. Terceira Série
3 International Journal of Number Theory
3 Journal of Function Spaces
3 International Journal of Applied and Computational Mathematics
2 Discrete Mathematics
2 Journal of the Korean Mathematical Society
2 Kyungpook Mathematical Journal
2 Results in Mathematics
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Georgian Mathematical Journal
2 Fractals
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Vietnam Journal of Mathematics
2 Honam Mathematical Journal
2 Communications of the Korean Mathematical Society
2 Integers
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 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
2 Afrika Matematika
2 Mathematical Sciences
2 Cogent Mathematics
2 Mathematical Foundations of Computing
2 DML. Discrete Mathematics Letters
1 International Journal of Control
1 Journal of Mathematical Physics
1 Mathematical Notes
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 Archivum Mathematicum
1 Calcolo
1 Collectanea 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 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 European Journal of Combinatorics
1 Advances in Applied Mathematics
1 Circuits, Systems, and Signal Processing
...and 48 more Serials
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Cited in 42 Fields

649 Number theory (11-XX)
296 Combinatorics (05-XX)
188 Special functions (33-XX)
61 Ordinary differential equations (34-XX)
58 Real functions (26-XX)
35 Partial differential equations (35-XX)
32 Numerical analysis (65-XX)
27 Functions of a complex variable (30-XX)
25 Approximations and expansions (41-XX)
18 Difference and functional equations (39-XX)
17 Probability theory and stochastic processes (60-XX)
12 Integral transforms, operational calculus (44-XX)
12 Operator theory (47-XX)
12 Computer science (68-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
9 Field theory and polynomials (12-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Group theory and generalizations (20-XX)
7 Systems theory; control (93-XX)
6 Sequences, series, summability (40-XX)
6 Biology and other natural sciences (92-XX)
5 Abstract harmonic analysis (43-XX)
5 Mechanics of deformable solids (74-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Integral equations (45-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Measure and integration (28-XX)
3 Fluid mechanics (76-XX)
2 General and overarching topics; collections (00-XX)
2 Algebraic geometry (14-XX)
2 General topology (54-XX)
2 Statistics (62-XX)
1 Mathematical logic and foundations (03-XX)
1 General algebraic systems (08-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Optics, electromagnetic theory (78-XX)
1 Quantum theory (81-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Information and communication theory, circuits (94-XX)

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