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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 11 Additional arXiv Preprints
Reviewing Activity: 120 Reviews
Co-Authors: 59 Co-Authors with 149 Joint Publications
2,010 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
11 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

196 Publications have been cited 2,826 times in 855 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.
100
2005
Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications. Zbl 1293.11044
Simsek, Yilmaz
82
2013
Twisted \((h,q)\)-Bernoulli numbers and polynomials related to twisted \((h,q)\)-zeta function and \(L\)-function. Zbl 1139.11051
Simsek, Yilmaz
80
2006
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.
72
2010
A new extension of \(q\)-Euler numbers and polynomials related to their interpolation functions. Zbl 1152.11009
Özden, Hacer; Simsek, Yilmaz
69
2008
\(q\)-analogue of twisted \(l\)-series and \(q\)-twisted Euler numbers. Zbl 1114.11019
Simsek, Yilmaz
62
2005
Generating functions of the twisted Bernoulli numbers and polynomials associated with their interpolation functions. Zbl 1173.11064
Simsek, Yilmaz
62
2008
Complete sum of products of \((h,q)\)-extension of Euler polynomials and numbers. Zbl 1223.11027
Simsek, Yilmaz
58
2010
Identities on the Changhee numbers and Apostol-type Daehee polynomials. Zbl 1371.11060
Simsek, Yilmaz
57
2017
Remarks on \(q\)-Bernoulli numbers associated with Daehee numbers. Zbl 1188.05005
Özden, Hacer; Cangül, İsmail Naci; Simsek, Yilmaz
56
2009
Applications of umbral algebra to some special polynomials. Zbl 1270.11018
Dere, Rahime; Simsek, Yilmaz
56
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.
51
2010
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
45
2008
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.
42
2013
On the higher-order \(w\)-\(q\)-Genocchi numbers. Zbl 1187.05004
Cangül, Ismail Naci; Kurt, Veli; Özden, Hacer; Simsek, Yilmaz
42
2009
Some families of Genocchi type polynomials and their interpolation functions. Zbl 1253.05021
Srivastava, H. M.; Kurt, Burak; Simsek, Yilmaz
42
2012
Theorems on twisted \(L\)-function and twisted Bernoulli numbers. Zbl 1178.11058
Simsek, Yilmaz
42
2005
A new generating function of (\(q\)-) Bernstein-type polynomials and their interpolation function. Zbl 1185.33013
Simsek, Yilmaz; Açıkgöz, Mehmet
41
2010
Multivariate interpolation functions of higher-order \(q\)-Euler numbers and their applications. Zbl 1140.11313
Özden, Hacer; Cangül, Ismail Naci; Simsek, Yilmaz
41
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
40
2009
New families of special numbers for computing negative order Euler numbers and related numbers and polynomials. Zbl 1488.11072
Simsek, Yilmaz
37
2018
Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and \(p\)-adic \(q\)-integrals. Zbl 1438.11056
Şimşek, Yılmaz
31
2018
Generating functions for special polynomials and numbers including Apostol-type and Humbert-type polynomials. Zbl 1373.05012
Ozdemir, Gulsah; Simsek, Yilmaz; Milovanović, Gradimir V.
30
2017
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
A note on \(p\)-adic \(q\)-Euler measure. Zbl 1143.11008
Özden, Hacer; Simsek, Yilmaz; Rim, Seog-Hoon; Cangül, Ismail Naci
29
2007
\(q\)-Dedekind type sums related to \(q\)-zeta function and basic \(L\)-series. Zbl 1149.11054
Simsek, Yilmaz
28
2006
Computation methods for combinatorial sums and Euler-type numbers related to new families of numbers. Zbl 1430.11033
Simsek, Yilmaz
26
2017
Analysis of the Bernstein basis functions: an approach to combinatorial sums involving binomial coefficients and Catalan numbers. Zbl 1331.05024
Simsek, Yilmaz
25
2015
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
On interpolation functions of the twisted generalized Frobenius-Euler numbers. Zbl 1217.11115
Simsek, Yilmaz; Yurekli, Osman; Kurt, Veli
24
2007
Generating functions for the Bernstein type polynomials: a new approach to deriving identities and applications for the polynomials. Zbl 1369.33010
Şimşek, Yılmaz
23
2014
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
23
2017
On twisted \(q\)-Hurwitz zeta function and \(q\)-two-variable \(L\)-function. Zbl 1143.11032
Simsek, Yilmaz
22
2007
Further remarks on multiple \(p\)-adic \(q\)-\(L\)-function of two variables. Zbl 1143.11043
Cenkci, Mehmet; Simsek, Yilmaz; Kurt, Veli
22
2007
Some array type polynomials associated with special numbers and polynomials. Zbl 1335.33003
Bayad, Abdelmejid; Simsek, Yilmaz; Srivastava, H. M.
21
2014
Generating functions for \(q\)-Apostol type Frobenius-Euler numbers and polynomials. Zbl 1294.11025
Simsek, Yilmaz
21
2012
Modification and unification of the Apostol-type numbers and polynomials and their applications. Zbl 1334.11015
Ozden, Hacer; Simsek, Yilmaz
20
2014
Functional equations from generating functions: a novel approach to deriving identities for the Bernstein basis functions. Zbl 1297.44002
Simsek, Yilmaz
20
2013
Apostol type Daehee numbers and polynomials. Zbl 1404.11021
Simsek, Yilmaz
20
2016
A new family of Fubini type numbers and polynomials associated with Apostol-Bernoulli numbers and polynomials. Zbl 1426.11014
Kilar, Neslihan; Simsek, Yilmaz
20
2017
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
19
2016
An approach to negative hypergeometric distribution by generating function for special numbers and polynomials. Zbl 1439.05011
Küçükoğlu, İrem; Şimşek, Burçin; Şimşek, Yılmaz
19
2019
Euler polynomials associated with \(p\)-adic \(q\)-Euler measure. Zbl 1155.11056
Özden, Hacer; Simsek, Yilmaz; Cangül, Ismail Naci
18
2007
Twisted \(p\)-adic \((h,q)\)-\(L\)-functions. Zbl 1203.11079
Simsek, Yilmaz
18
2010
Hermite base Bernoulli type polynomials on the umbral algebra. Zbl 1318.33015
Dere, R.; Simsek, Y.
18
2015
A new approach to \(q\)-Genocchi numbers and their interpolation functions. Zbl 1238.11017
Cangül, İsmail Naci; Özden, Hacer; Simsek, Yilmaz
18
2009
\(q\)-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
Genocchi polynomials associated with the umbral algebra. Zbl 1229.11036
Dere, Rahime; Simsek, Yilmaz
18
2011
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
17
2003
\(q\)-Hardy-Berndt type sums associated with \(q\)-Genocchi type zeta and \(q\)-\(l\)-functions. Zbl 1238.11030
Simsek, Yilmaz
17
2009
Identities and relations related to combinatorial numbers and polynomials. Zbl 1407.11041
Simsek, Yilmaz
17
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.
16
2017
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
16
2019
Construction a new generating function of Bernstein type polynomials. Zbl 1225.30003
Simsek, Yilmaz
16
2011
Interpolation function of the \((h,q)\)-extension of twisted Euler numbers. Zbl 1155.11015
Özden, Hacer; Simsek, Yilmaz
15
2008
Generating functions for the \(q\)-Bernstein bases. Zbl 1304.65264
Goldman, Ron; Simeonov, Plamen; Simsek, Yilmaz
15
2014
A note on the alternating sums of powers of consecutive \(q\)-integers. Zbl 1201.11108
Kim, Taekyun; Rim, Seog-Hoon; Simsek, Yilmaz
15
2006
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
\(q\)-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
Applications on the Apostol-Daehee numbers and polynomials associated with special numbers, polynomials, and \(p\)-adic integrals. Zbl 1419.11044
Simsek, Yilmaz; Yardimci, Ahmet
14
2016
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.
14
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
14
2019
On the two-variable Dirichlet \(q\)-\(L\)-series. Zbl 1073.11071
Simsek, Yilmaz; Kim, Daeyeoul; Rim, Seog-Hoon
13
2005
On \(q\)-analogues of the twisted \(L\)-functions and \(q\)-twisted Bernoulli numbers. Zbl 1043.11066
Simsek, Yilmaz
13
2003
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
Generating functions for two-variable polynomials related to a family of Fibonacci type polynomials and numbers. Zbl 1459.11044
Ozdemir, Gulsah; Simsek, Yilmaz
13
2016
A new class of polynomials associated with Bernstein and beta polynomials. Zbl 1303.33013
Simsek, Yilmaz
12
2014
Construction method for generating functions of special numbers and polynomials arising from analysis of new operators. Zbl 06986336
Simsek, Yilmaz
12
2018
Remarks on reciprocity laws of the Dedekind and Hardy sums. Zbl 1094.11017
Simsek, Yilmaz
12
2006
On multiple interpolation functions of the Nörlund-type \(q\)-Euler polynomials. Zbl 1194.11027
Açıkgöz, Mehmet; Simsek, Yilmaz
11
2009
Analytic continuation of the multiple Daehee \(q\)-\(l\)-functions associated with Daehee numbers. Zbl 1196.11157
Kim, Taekyun; Simsek, Yilmaz
11
2008
A family of \(p\)-adic twisted interpolation functions associated with the modified Bernoulli numbers. Zbl 1211.11133
Simsek, Yilmaz; Srivastava, H. M.
11
2010
On twisted generalized Euler numbers. Zbl 1143.11305
Simsek, Yilmaz
11
2004
Interpolation function of generalized \(q\)-Bernstein-type basis polynomials and applications. Zbl 1352.65067
Simsek, Yilmaz
11
2012
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
11
2020
Identities and relations on the \(q\)-Apostol type Frobenius-Euler numbers and polynomials. Zbl 1410.05012
Kucukoglu, Irem; Simsek, Yilmaz
11
2019
Unification of the Bernstein-type polynomials and their applications. Zbl 1319.11012
Simsek, Yilmaz
10
2013
Identities, inequalities for Boole-type polynomials: approach to generating functions and infinite series. Zbl 1499.05050
Simsek, Yilmaz; So, Ji Suk
10
2019
Identities associated with generalized Stirling type numbers and Eulerian type polynomials. Zbl 1390.33024
Simsek, Yilmaz
10
2013
Notes on generalization of the Bernoulli type polynomials. Zbl 1269.11023
Kurt, Burak; Simsek, Yilmaz
10
2011
Peters type polynomials and numbers and their generating functions: approach with \(p\)-adic integral method. Zbl 1453.11033
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
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
9
2010
\(k\)-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
9
2017
A note on generating functions for the unification of the Bernstein type basis functions. Zbl 1474.33009
Kucukoglu, Irem; Simsek, Yilmaz
9
2016
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
9
2019
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
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
On generating functions for Boole type polynomials and numbers of higher order and their applications. Zbl 1423.05009
Simsek, Yilmaz; So, Ji Suk
8
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
8
2021
Combinatorial sums and binomial identities associated with the beta-type polynomials. Zbl 1488.05014
Şimşek, Yılmaz
8
2018
Beta-type polynomials and their generating functions. Zbl 1410.11012
Simsek, Yilmaz
8
2015
Generalized Dedekind sums associated with the Abel sum and the Einstein and Lambert series. Zbl 1064.11036
Simsek, Yilmaz
7
2004
Barnes’ type multiple Changhee \(q\)-zeta functions. Zbl 1088.11088
Simsek, Yilmaz; Kim, Taekyun; Pyung, In-Soo
7
2005
Generating function for \(q\)-Eulerian polynomials and their decomposition and applications. Zbl 1284.05041
Alkan, Mustafa; Simsek, Yilmaz
7
2013
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
Multiple interpolation functions of higher order \((h,q)\)-Bernoulli numbers. Zbl 1192.11012
Simsek, Yilmaz
7
2008
Values of twisted Barnes zeta functions at negative integers. Zbl 1276.11145
Bayad, A.; Simsek, Y.
7
2013
On the generating functions and special functions associated with superoscillations. Zbl 1531.81086
Colombo, F.; Krausshar, R. S.; Sabadini, I.; Simsek, Y.
1
2023
Modification exponential Euler type splines derived from Apostol-Euler numbers and polynomials of complex order. Zbl 07710598
Gun, Damla; Simsek, Yilmaz
1
2023
Recurrence relations, associated formulas, and combinatorial sums for some parametrically generalized polynomials arising from an analysis of the Laplace transform and generating functions. Zbl 1534.11029
Kilar, Neslihan; Simsek, Yilmaz; Srivastava, H. M.
1
2023
Formulas and combinatorial identities for Catalan-type numbers and polynomials: their analysis with computational algorithms. Zbl 1514.05020
Kucukoglu, I.; Simsek, Y.
2
2022
Analysis of generating functions for special words and numbers and algorithms for computation. Zbl 07648632
Kucukoglu, Irem; Milovanović, Gradimir V.; Simsek, Yilmaz
2
2022
Formulas for characteristic function and moment generating functions of beta type distribution. Zbl 1493.62258
Yalcin, Fusun; 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
8
2021
Identities and relations for Hermite-based Milne-Thomson polynomials associated with Fibonacci and Chebyshev polynomials. Zbl 1456.05007
Kilar, Neslihan; Simsek, Yilmaz
5
2021
Construction of generalized Leibnitz type numbers and their properties. Zbl 1499.05049
Simsek, Yilmaz
5
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
3
2021
New integral formulas and identities involving special numbers and functions derived from certain class of special combinatorial sums. Zbl 1473.11055
Simsek, Yilmaz
3
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
2
2021
New computational formulas for special numbers and polynomials derived from applying trigonometric functions to generating functions. Zbl 1476.11044
Kilar, Neslihan; Simsek, Yilmaz
2
2021
Applications of constructed new families of generating-type functions interpolating new and known classes of polynomials and numbers. Zbl 1472.05010
Simsek, Yilmaz
2
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
2
2021
Miscellaneous formulae for the certain class of combinatorial sums and special numbers. Zbl 1476.11035
Simsek, Yilmaz
1
2021
New classes of recurrence relations involving hyperbolic functions, special numbers and polynomials. Zbl 1499.05015
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
Computational identities for extensions of some families of special numbers and polynomials. Zbl 1493.11059
Küçükoğlu, İrem; Şimşek, 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
11
2020
A new family of combinatorial numbers and polynomials associated with Peters numbers and polynomials. Zbl 1474.11073
Simsek, Yilmaz
7
2020
Combinatorial sums involving Stirling, Fubini, Bernoulli numbers and approximate values of Catalan numbers. Zbl 1499.05009
Gun, Damla; Simsek, Yilmaz
6
2020
Dedekind and Hardy type sums and trigonometric sums induced by quadrature formulas. Zbl 07216532
Milovanović, Gradimir V.; Simsek, Yilmaz
6
2020
A special approach to derive new formulas for some special numbers and polynomials. Zbl 1493.05019
Kilar, Neslihan; Şimşek, Yilmaz
6
2020
On Boole-type combinatorial numbers and polynomials. Zbl 1499.05023
Simsek, Yilmaz
5
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
5
2020
Identities for special numbers and polynomials involving Fibonacci-type polynomials and Chebyshev polynomials. Zbl 1499.05038
Kilar, Neslihan; Simsek, Yilmaz
4
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
2
2020
Identities and relations for special numbers and polynomials: an approach to trigonometric functions. Zbl 1499.05037
Kilar, Neslihan; Simsek, Yilmaz
1
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
An approach to negative hypergeometric distribution by generating function for special numbers and polynomials. Zbl 1439.05011
Küçükoğlu, İrem; Şimşek, Burçin; Şimşek, Yılmaz
19
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
16
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.
14
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
14
2019
Identities and relations on the \(q\)-Apostol type Frobenius-Euler numbers and polynomials. Zbl 1410.05012
Kucukoglu, Irem; Simsek, Yilmaz
11
2019
Identities, inequalities for Boole-type polynomials: approach to generating functions and infinite series. Zbl 1499.05050
Simsek, Yilmaz; So, Ji Suk
10
2019
Peters type polynomials and numbers and their generating functions: approach with \(p\)-adic integral method. Zbl 1453.11033
Simsek, Yilmaz
10
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
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
8
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
7
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
5
2019
Relations on Bernoulli and Euler polynomials related to trigonometric functions. Zbl 1463.11067
Kilar, Neslihan; Simsek, Yilmaz
5
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
4
2019
A class of polynomials and connections with Bernoulli’s numbers. Zbl 1473.11054
Milovanović, Gradimir V.; Simsek, Yilmaz; Stojanović, Vladica S.
4
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
New families of special numbers for computing negative order Euler numbers and related numbers and polynomials. Zbl 1488.11072
Simsek, Yilmaz
37
2018
Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and \(p\)-adic \(q\)-integrals. Zbl 1438.11056
Şimşek, Yılmaz
31
2018
Construction method for generating functions of special numbers and polynomials arising from analysis of new operators. Zbl 06986336
Simsek, Yilmaz
12
2018
Combinatorial sums and binomial identities associated with the beta-type polynomials. Zbl 1488.05014
Şimşek, Yılmaz
8
2018
Special numbers and polynomials including their generating functions in umbral analysis methods. Zbl 1432.05018
Simsek, Yilmaz
7
2018
Identities associated with Milne-Thomson type polynomials and special numbers. Zbl 1497.05008
Simsek, Yilmaz; Cakic, Nenad
5
2018
Combinatorial identities and sums for special numbers and polynomials. Zbl 1499.05024
Simsek, Yilmaz
5
2018
Generating functions for unification of the multidimensional Bernstein polynomials and their applications. Zbl 1433.11024
Simsek, Yilmaz
4
2018
Observations on identities and relations for interpolation functions and special numbers. Zbl 1413.05010
Kucukoglu, Irem; Simsek, Yilmaz
3
2018
Remarks on recurrence formulas for the Apostol-type numbers and polynomials. Zbl 1414.05027
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
2
2018
Computation of \(k\)-ary Lyndon words using generating functions and their differential equations. Zbl 1513.68042
Kucukoglu, Irem; Simsek, Yilmaz
2
2018
Identities and derivative formulas for the combinatorial and Apostol-Euler type numbers by their generating functions. Zbl 1499.05020
Kucukoglu, Irem; Simsek, Yilmaz
1
2018
Identities on the Changhee numbers and Apostol-type Daehee polynomials. Zbl 1371.11060
Simsek, Yilmaz
57
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.
30
2017
Computation methods for combinatorial sums and Euler-type numbers related to new families of numbers. Zbl 1430.11033
Simsek, Yilmaz
26
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
23
2017
A new family of Fubini type numbers and polynomials associated with Apostol-Bernoulli numbers and polynomials. Zbl 1426.11014
Kilar, Neslihan; Simsek, Yilmaz
20
2017
Identities and relations related to combinatorial numbers and polynomials. Zbl 1407.11041
Simsek, Yilmaz
17
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.
16
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
9
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
6
2017
On generating functions for the special polynomials. Zbl 1488.11059
Simsek, Yilmaz
5
2017
Identities for Korobov-type polynomials arising from functional equations and \(p\)-adic integrals. Zbl 1412.11048
Yardimci, Ahmet; Simsek, Yilmaz
2
2017
The actions on the generating functions for the family of the generalized Bernoulli polynomials. Zbl 1488.11055
Alkan, Mustafa; 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
20
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
19
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
14
2016
Generating functions for two-variable polynomials related to a family of Fibonacci type polynomials and numbers. Zbl 1459.11044
Ozdemir, Gulsah; Simsek, Yilmaz
13
2016
A note on generating functions for the unification of the Bernstein type basis functions. Zbl 1474.33009
Kucukoglu, Irem; Simsek, Yilmaz
9
2016
Combinatorial identities associated with Bernstein type basis functions. Zbl 1433.11023
Simsek, Yilmaz
4
2016
Third and higher order convolution identities for Cauchy numbers. Zbl 1446.11041
Komatsu, Takao; Simsek, Yilmaz
4
2016
The families of \(L\)-series associated with decomposition of the generating functions. Zbl 1459.11057
Alkan, Mustafa; Simsek, Yilmaz
1
2016
Analysis of the Bernstein basis functions: an approach to combinatorial sums involving binomial coefficients and Catalan numbers. Zbl 1331.05024
Simsek, Yilmaz
25
2015
Hermite base Bernoulli type polynomials on the umbral algebra. Zbl 1318.33015
Dere, R.; Simsek, Y.
18
2015
Beta-type polynomials and their generating functions. Zbl 1410.11012
Simsek, Yilmaz
8
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
Generating functions for the Bernstein type polynomials: a new approach to deriving identities and applications for the polynomials. Zbl 1369.33010
Şimşek, Yılmaz
23
2014
Some array type polynomials associated with special numbers and polynomials. Zbl 1335.33003
Bayad, Abdelmejid; Simsek, Yilmaz; Srivastava, H. M.
21
2014
Modification and unification of the Apostol-type numbers and polynomials and their applications. Zbl 1334.11015
Ozden, Hacer; Simsek, Yilmaz
20
2014
Generating functions for the \(q\)-Bernstein bases. Zbl 1304.65264
Goldman, Ron; Simeonov, Plamen; Simsek, Yilmaz
15
2014
A new class of polynomials associated with Bernstein and beta polynomials. Zbl 1303.33013
Simsek, Yilmaz
12
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
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
Convolution identities on the Apostol-Hermite base of two variables polynomials. Zbl 1296.33016
Bayad, Abdelmejid; 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
82
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.
42
2013
Functional equations from generating functions: a novel approach to deriving identities for the Bernstein basis functions. Zbl 1297.44002
Simsek, Yilmaz
20
2013
Unification of the Bernstein-type polynomials and their applications. Zbl 1319.11012
Simsek, Yilmaz
10
2013
...and 96 more Documents
all top 5

Cited by 579 Authors

240 Kim, Taekyun
149 Kim, Dae San
127 Simsek, Yilmaz
42 Jang, Lee-Chae
38 Rim, Seog-Hoon
35 Araci, Serkan
35 Ryoo, Cheon Seoung
33 Srivastava, Hari Mohan
31 Dolgiĭ, Dmitriĭ Viktorovich
30 Acikgoz, Mehmet
25 Kim, Young Hee
24 Kwon, JongKyum
21 Kucukoglu, Irem
20 Kim, Daeyeoul
20 Kim, Minsoo
19 Khan, Waseem Ahmad
19 Kim, Hanyoung
19 Lee, Sang Hun
17 Bayad, Abdelmejid
16 Lee, Hyunseok
15 Park, Jin Woo
14 Kwon, Hyuck In
14 Ozden, Hacer
13 Cangul, Ismail Naci
12 Kang, Jung-Yoog
12 Lee, Hui Young
11 Jang, Gwan-Woo
11 Jung, Nam Soon
11 Kilar, Neslihan
11 Kim, Hyekyung
11 Lee, Byungje
11 Ozarslan, Mehmet Ali
10 Duran, Ugur
10 Hwang, Kyung-Won
10 Kurt, Veli
9 Khan, Nabiullah U.
8 Choi, Junesang
8 Lim, Dongkyu
8 Luo, Qiuming
8 Mansour, Toufik
8 Seo, Jongjin
8 Yan, Zuomao
7 Dağli, Muhammet Cihat
7 Komatsu, Takao
7 Mahmudov, Nazim Idrisoglu
7 Usman, Talha
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
5 Caristi, Giuseppe
5 Heidarkhani, Shapour
5 Khan, Subuhi
5 Lu, Daqian
5 Milovanović, Gradimir V.
5 Park, Kyoung Ho
5 Pathan, Mahmood Ahmad
4 Afrouzi, Ghasem Alizadeh
4 Ağyüz, Erkan
4 Aygunes, Aykut Ahmet
4 Can, Mumun
4 Çekım, Bayram
4 Çevik, Ahmet Sinan
4 Chaudhary, M. P.
4 Choi, Jongsung
4 Dere, Rahime
4 Gaboury, Sébastien
4 Goubi, Mouloud
4 Hu, Su
4 Jeong, Joohee
4 Kızılateş, Can
4 Kumar, Belakavadi Radhakrishna Srivatsa
4 Lee, Jeong-Gon
4 Lee, Sunjung
4 Lu, Fangxia
4 Moradi, Shahin
4 Qi, Feng
4 Simsek, Buket
4 Son, Jin-Woo
3 Băleanu, Dumitru I.
3 Bhrawy, Ali Hassan
3 Boulaaras, Salah Mahmoud
3 Cenkci, Mehmet
3 Deo, Naokant
3 Doha, Eid H.
3 El-Desouky, Beih S.
3 Erdal, Dilek
3 Ferrara, Massimiliano
3 Goldman, Ronald N.
3 Gun, Damla
3 Hajli, Mounir
3 Husain, Saddam
3 Jolany, Hassan
3 Khan, Idrees A.
3 Li, Tongxing
3 Liu, Guodong
...and 479 more Authors
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Cited in 154 Serials

118 Advances in Difference Equations
69 Journal of Inequalities and Applications
46 Abstract and Applied Analysis
34 Applied Mathematics and Computation
33 Mathematical Methods in the Applied Sciences
31 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
29 Russian Journal of Mathematical Physics
28 Filomat
18 Journal of Number Theory
18 Turkish Journal of Mathematics
18 Discrete Dynamics in Nature and Society
17 International Journal of Mathematics and Mathematical Sciences
16 Applicable Analysis and Discrete Mathematics
16 Symmetry
15 Journal of Applied Mathematics & Informatics
15 AIMS Mathematics
14 Journal of Mathematical Analysis and Applications
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 Publications de l’Institut Mathématique. Nouvelle Série
6 Journal of Applied Mathematics
6 Mediterranean Journal of Mathematics
5 Journal of Computational and Applied Mathematics
5 Quaestiones Mathematicae
5 Applied Mathematics Letters
5 Journal of Difference Equations and Applications
5 Kragujevac Journal of Mathematics
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 Journal of Nonlinear Mathematical Physics
4 International Journal of Number Theory
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 Georgian Mathematical Journal
3 Mathematica Moravica
3 Integers
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 Afrika Matematika
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 Fractals
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Vietnam Journal of Mathematics
2 Honam Mathematical Journal
2 Mathematical and Computer Modelling of Dynamical Systems
2 Journal of Integer Sequences
2 Analysis (München)
2 Communications of the Korean Mathematical Society
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 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 Gaṇita
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
...and 54 more Serials
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Cited in 43 Fields

698 Number theory (11-XX)
320 Combinatorics (05-XX)
202 Special functions (33-XX)
63 Real functions (26-XX)
63 Ordinary differential equations (34-XX)
36 Partial differential equations (35-XX)
34 Numerical analysis (65-XX)
30 Approximations and expansions (41-XX)
29 Functions of a complex variable (30-XX)
20 Probability theory and stochastic processes (60-XX)
17 Difference and functional equations (39-XX)
13 Field theory and polynomials (12-XX)
13 Operator theory (47-XX)
13 Computer science (68-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
12 Integral transforms, operational calculus (44-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Group theory and generalizations (20-XX)
7 Systems theory; control (93-XX)
6 Biology and other natural sciences (92-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Sequences, series, summability (40-XX)
5 Abstract harmonic analysis (43-XX)
5 Mechanics of deformable solids (74-XX)
4 Algebraic geometry (14-XX)
4 Measure and integration (28-XX)
4 Integral equations (45-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 General topology (54-XX)
4 Statistics (62-XX)
3 Fluid mechanics (76-XX)
2 General and overarching topics; collections (00-XX)
2 Topological groups, Lie groups (22-XX)
2 Information and communication theory, circuits (94-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)

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