Edit Profile (opens in new tab) Simsek, Yilmaz Compute Distance To: Compute Author ID: simsek.yilmaz Published as: Simsek, Yilmaz; Simsek, Y.; Şimşek, Yılmaz; Şimşek, Yilmaz; Simsek, Yılmaz more...less External Links: ORCID Documents Indexed: 206 Publications since 1992 Reviewing Activity: 104 Reviews Co-Authors: 56 Co-Authors with 138 Joint Publications 1,803 Co-Co-Authors all top 5 Co-Authors 68 single-authored 22 Kucukoglu, Irem 21 Cangul, Ismail Naci 18 Ozden, Hacer 13 Kim, Daeyeoul 13 Kurt, Veli 12 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. 4 Milovanović, Gradimir V. 3 Alkan, Mustafa 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 all top 5 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 8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 Russian Journal of Mathematical Physics 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 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 Journal of Nonlinear Mathematical Physics 2 Hacettepe Journal of Mathematics and Statistics 2 Journal of the Indonesian Mathematical Society 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 all top 5 Fields 187 Number theory (11-XX) 86 Combinatorics (05-XX) 57 Special functions (33-XX) 41 Real functions (26-XX) 19 Functions of a complex variable (30-XX) 10 Numerical analysis (65-XX) 10 Computer science (68-XX) 8 Field theory and polynomials (12-XX) 8 Integral transforms, operational calculus (44-XX) 4 Algebraic geometry (14-XX) 4 Ordinary differential equations (34-XX) 4 Partial differential equations (35-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 Harmonic analysis on Euclidean spaces (42-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 171 Publications have been cited 2,361 times in 747 Documents Cited by ▼ Year ▼ On the generalized Apostol-type Frobenius-Euler polynomials. Zbl 1365.05013Kurt, Burak; Simsek, Yilmaz 116 2013 \(q\)-Bernoulli numbers and polynomials associated with multiple \(q\)-zeta functions and basic \(L\)-series. Zbl 1200.11018Srivastava, 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 1139.11051Simsek, Yilmaz 76 2006 A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials. Zbl 1207.33015Özden, Hacer; Simsek, Yilmaz; Srivastava, H. M. 67 2010 A new extension of \(q\)-Euler numbers and polynomials related to their interpolation functions. Zbl 1152.11009Özden, Hacer; Simsek, Yilmaz 67 2008 Generating functions of the twisted Bernoulli numbers and polynomials associated with their interpolation functions. Zbl 1173.11064Simsek, Yilmaz 61 2008 Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications. Zbl 1293.11044Simsek, Yilmaz 60 2013 \(q\)-analogue of twisted \(l\)-series and \(q\)-twisted Euler numbers. Zbl 1114.11019Simsek, Yilmaz 60 2005 Identities on the Changhee numbers and Apostol-type Daehee polynomials. Zbl 1371.11060Simsek, Yilmaz 57 2017 Remarks on \(q\)-Bernoulli numbers associated with Daehee numbers. Zbl 1188.05005Özden, Hacer; Cangül, İsmail Naci; Simsek, Yilmaz 55 2009 Complete sum of products of \((h,q)\)-extension of Euler polynomials and numbers. Zbl 1223.11027Simsek, Yilmaz 53 2010 On \(p\)-adic twisted \(q\)-\(L\)-functions related to generalized twisted Bernoulli numbers. Zbl 1163.11312Simsek, Y. 51 2006 Applications of umbral algebra to some special polynomials. Zbl 1270.11018Dere, Rahime; Simsek, Yilmaz 49 2012 Special functions related to Dedekind-type DC-sums and their applications. Zbl 1259.11045Simsek, Y. 46 2010 Theorems on twisted \(L\)-function and twisted Bernoulli numbers. Zbl 1178.11058Simsek, Yilmaz 42 2005 On the higher-order \(w\)-\(q\)-Genocchi numbers. Zbl 1187.05004Cangül, Ismail Naci; Kurt, Veli; Özden, Hacer; Simsek, Yilmaz 40 2009 On the analogs of Bernoulli and Euler numbers, related identities and zeta and \(L\)-functions. Zbl 1223.11145Kim, Taekyun; Rim, Seog-Hoon; Simsek, Yilmaz; Kim, Daeyeoul 40 2008 Twisted Dedekind type sums associated with Barnes’ type multiple Frobenius-Euler \(L\)-functions. Zbl 1198.11044Can, Mumun; Cenkci, Mehmet; Kurt, Veli; Simsek, Yilmaz 38 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 1295.11023Dere, Rahime; Simsek, Yilmaz; Srivastava, H. M. 36 2013 Multivariate interpolation functions of higher-order \(q\)-Euler numbers and their applications. Zbl 1140.11313Özden, Hacer; Cangül, Ismail Naci; Simsek, Yilmaz 35 2008 A new generating function of (\(q\)-) Bernstein-type polynomials and their interpolation function. Zbl 1185.33013Simsek, Yilmaz; Açıkgöz, Mehmet 33 2010 Some families of Genocchi type polynomials and their interpolation functions. Zbl 1253.05021Srivastava, H. M.; Kurt, Burak; Simsek, Yilmaz 33 2012 New approach to the complete sum of products of the twisted \((h,q)\)-Bernoulli numbers and polynomials. Zbl 1163.11015Simsek, Yilmaz; Kurt, Veli; Kim, Daeyeoul 29 2007 \(q\)-Dedekind type sums related to \(q\)-zeta function and basic \(L\)-series. Zbl 1149.11054Simsek, Yilmaz 28 2006 Generating functions of the \((h,q)\) extension of twisted Euler polynomials and numbers. Zbl 1174.11025Cangül, I. N.; Özden, H.; Simsek, Y. 25 2008 A note on \(p\)-adic \(q\)-Euler measure. Zbl 1143.11008Özden, Hacer; Simsek, Yilmaz; Rim, Seog-Hoon; Cangül, Ismail Naci 24 2007 Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and \(p\)-adic \(q\)-integrals. Zbl 1438.11056Şimşek, Yılmaz 23 2018 On interpolation functions of the twisted generalized Frobenius-Euler numbers. Zbl 1217.11115Simsek, Yilmaz; Yurekli, Osman; Kurt, Veli 23 2007 Generating functions for special polynomials and numbers including Apostol-type and Humbert-type polynomials. Zbl 1373.05012Ozdemir, Gulsah; Simsek, Yilmaz; Milovanović, Gradimir V. 22 2017 Generating functions for \(q\)-Apostol type Frobenius-Euler numbers and polynomials. Zbl 1294.11025Simsek, Yilmaz 21 2012 On twisted \(q\)-Hurwitz zeta function and \(q\)-two-variable \(L\)-function. Zbl 1143.11032Simsek, Yilmaz 21 2007 Further remarks on multiple \(p\)-adic \(q\)-\(L\)-function of two variables. Zbl 1143.11043Cenkci, Mehmet; Simsek, Yilmaz; Kurt, Veli 21 2007 Analysis of the Bernstein basis functions: an approach to combinatorial sums involving binomial coefficients and Catalan numbers. Zbl 1331.05024Simsek, Yilmaz 21 2015 Partial differential equations for a new family of numbers and polynomials unifying the Apostol-type numbers and the Apostol-type polynomials. Zbl 1369.05009Srivastava, H. M.; Kucukoğlu, Irem; Simsek, Yilmaz 20 2017 Apostol type Daehee numbers and polynomials. Zbl 1404.11021Simsek, Yilmaz 20 2016 \(q\)-Bernstein polynomials related to \(q\)-Frobenius-Euler polynomials, \(l\)-functions, and \(q\)-Stirling numbers. Zbl 1262.11039Simsek, Yilmaz; Bayad, Abdelmejid; Lokesha, V. 18 2012 Generating functions for the Bernstein type polynomials: a new approach to deriving identities and applications for the polynomials. Zbl 1369.33010Şimşek, Yılmaz 17 2014 Computation methods for combinatorial sums and Euler-type numbers related to new families of numbers. Zbl 1430.11033Simsek, Yilmaz 17 2017 Genocchi polynomials associated with the umbral algebra. Zbl 1229.11036Dere, Rahime; Simsek, Yilmaz 17 2011 A new approach to \(q\)-Genocchi numbers and their interpolation functions. Zbl 1238.11017Cangül, İsmail Naci; Özden, Hacer; Simsek, Yilmaz 17 2009 An approach to negative hypergeometric distribution by generating function for special numbers and polynomials. Zbl 1439.05011Küçükoğlu, İrem; Şimşek, Burçin; Şimşek, Yılmaz 16 2019 Modification and unification of the Apostol-type numbers and polynomials and their applications. Zbl 1334.11015Ozden, Hacer; Simsek, Yilmaz 16 2014 Some array type polynomials associated with special numbers and polynomials. Zbl 1335.33003Bayad, Abdelmejid; Simsek, Yilmaz; Srivastava, H. M. 16 2014 Twisted \(p\)-adic \((h,q)\)-\(L\)-functions. Zbl 1203.11079Simsek, Yilmaz 16 2010 \(q\)-Hardy-Berndt type sums associated with \(q\)-Genocchi type zeta and \(q\)-\(l\)-functions. Zbl 1238.11030Simsek, Yilmaz 16 2009 Euler polynomials associated with \(p\)-adic \(q\)-Euler measure. Zbl 1155.11056Özden, Hacer; Simsek, Yilmaz; Cangül, Ismail Naci 16 2007 Functional equations from generating functions: a novel approach to deriving identities for the Bernstein basis functions. Zbl 1297.44002Simsek, Yilmaz 15 2013 A new family of Fubini type numbers and polynomials associated with Apostol-Bernoulli numbers and polynomials. Zbl 1426.11014Kilar, Neslihan; Simsek, Yilmaz 15 2017 Identities and relations related to combinatorial numbers and polynomials. Zbl 1407.11041Simsek, Yilmaz 15 2017 Interpolation function of the \((h,q)\)-extension of twisted Euler numbers. Zbl 1155.11015Özden, Hacer; Simsek, Yilmaz 15 2008 \(q\)-Genocchi numbers and polynomials associated with \(q\)-Genocchi-type \(l\)-functions. Zbl 1140.33308Simsek, Yilmaz; Cangül, Ismail Naci; Kurt, Veli; Kim, Daeyeoul 14 2008 Multiple two-variable \(p\)-adic \(q\)-\(L\)-function and its behavior at \(s=0\). Zbl 1192.11079Cenkci, M.; Simsek, Y.; Kurt, V. 14 2008 Hermite base Bernoulli type polynomials on the umbral algebra. Zbl 1318.33015Dere, R.; Simsek, Y. 14 2015 Analysis of the \(p\)-adic \(q\)-Volkenborn integrals: an approach to generalized Apostol-type special numbers and polynomials and their applications. Zbl 1426.11015Simsek, Yilmaz 13 2016 Applications on the Apostol-Daehee numbers and polynomials associated with special numbers, polynomials, and \(p\)-adic integrals. Zbl 1419.11044Simsek, Yilmaz; Yardimci, Ahmet 13 2016 Remarks on sum of products of \((h,q)\)-twisted Euler polynomials and numbers. Zbl 1140.11314Özden, Hacer; Cangül, Ismail Naci; Simsek, Yilmaz 13 2008 On \(q\)-analogues of the twisted \(L\)-functions and \(q\)-twisted Bernoulli numbers. Zbl 1043.11066Simsek, Yilmaz 13 2003 Relations between theta-functions, Hardy sums, Eisenstein and Lambert series in the transformation formula of log \(\eta_{g,h}(z)\). Zbl 1047.11042Simsek, Yilmaz 13 2003 Construction a new generating function of Bernstein type polynomials. Zbl 1225.30003Simsek, Yilmaz 13 2011 A note on the alternating sums of powers of consecutive \(q\)-integers. Zbl 1201.11108Kim, Taekyun; Rim, Seog-Hoon; Simsek, Yilmaz 13 2006 Generating functions for the \(q\)-Bernstein bases. Zbl 1304.65264Goldman, Ron; Simeonov, Plamen; Simsek, Yilmaz 11 2014 A new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomials. Zbl 1446.11038Kucukoğlu, Irem; Simsek, Yilmaz; Srivastava, H. M. 11 2019 On the two-variable Dirichlet \(q\)-\(L\)-series. Zbl 1073.11071Simsek, Yilmaz; Kim, Daeyeoul; Rim, Seog-Hoon 11 2005 A family of \(p\)-adic twisted interpolation functions associated with the modified Bernoulli numbers. Zbl 1211.11133Simsek, Yilmaz; Srivastava, H. M. 11 2010 Analytic continuation of the multiple Daehee \(q\)-\(l\)-functions associated with Daehee numbers. Zbl 1196.11157Kim, Taekyun; Simsek, Yilmaz 11 2008 Interpolation function of generalized \(q\)-Bernstein-type basis polynomials and applications. Zbl 1352.65067Simsek, Yilmaz 11 2012 Remarks on reciprocity laws of the Dedekind and Hardy sums. Zbl 1094.11017Simsek, Yilmaz 10 2006 On twisted generalized Euler numbers. Zbl 1143.11305Simsek, Yilmaz 10 2004 Generating functions for two-variable polynomials related to a family of Fibonacci type polynomials and numbers. Zbl 1459.11044Ozdemir, Gulsah; Simsek, Yilmaz 10 2016 Notes on generalization of the Bernoulli type polynomials. Zbl 1269.11023Kurt, Burak; Simsek, Yilmaz 10 2011 A new class of polynomials associated with Bernstein and beta polynomials. Zbl 1303.33013Simsek, Yilmaz 9 2014 An explicit formula for the multiple Frobenius-Euler numbers and polynomials. Zbl 1161.11410Simsek, Y.; Kim, T.; Park, D. W.; Ro, Y. S.; Jang, L. C.; Rim, S. H. 9 2004 On \((i,q)\) Bernoulli and Euler numbers. Zbl 1152.11008Cenkci, M.; Kurt, V.; Rim, S. H.; Simsek, Y. 9 2008 Formulas for Poisson-Charlier, Hermite, Milne-Thomson and other type polynomials by their generating functions and \(p\)-adic integral approach. Zbl 1429.11046Simsek, Yilmaz 8 2019 Generating functions for finite sums involving higher powers of binomial coefficients: analysis of hypergeometric functions including new families of polynomials and numbers. Zbl 1461.33003Simsek, Yilmaz 8 2019 Beta-type polynomials and their generating functions. Zbl 1410.11012Simsek, Yilmaz 8 2015 Identities associated with generalized Stirling type numbers and Eulerian type polynomials. Zbl 1390.33024Simsek, Yilmaz 8 2013 A new approach to connect algebra with analysis: relationships and applications between presentations and generating functions. Zbl 1319.11009Cangül, Ismail Naci; Çevik, Ahmet Sinan; Şimşek, Yılmaz 8 2013 On multiple interpolation functions of the Nörlund-type \(q\)-Euler polynomials. Zbl 1194.11027Açıkgöz, Mehmet; Simsek, Yilmaz 8 2009 \(k\)-ary Lyndon words and necklaces arising as rational arguments of Hurwitz-Lerch zeta function and Apostol-Bernoulli polynomials. Zbl 1404.05010Kucukoglu, Irem; Bayad, Abdelmejid; Simsek, Yilmaz 7 2017 Unification of the Bernstein-type polynomials and their applications. Zbl 1319.11012Simsek, Yilmaz 7 2013 The behavior of the twisted \(p\)-adic \((h,q)\)-\(L\)-functions at \(s=0\). Zbl 1143.11009Simsek, Yilmaz 7 2007 A note on generating functions for the unification of the Bernstein type basis functions. Zbl 1474.33009Kucukoglu, Irem; Simsek, Yilmaz 7 2016 An invariant \(p\)-adic \(q\)-integral associated with \(q\)-Euler numbers and polynomials. Zbl 1159.11008Cangül, Ismail Naci; Kurt, Veli; Simsek, Yilmaz; Pak, Hong Kyung; Rim, Seog-Hoon 7 2007 Some new identities and inequalities for Bernoulli polynomials and numbers of higher order related to the Stirling and Catalan numbers. Zbl 1484.11072Gun, Damla; Simsek, Yilmaz 7 2020 New families of special numbers for computing negative order Euler numbers and related numbers and polynomials. Zbl 1488.11072Simsek, Yilmaz 7 2018 Peters type polynomials and numbers and their generating functions: approach with \(p\)-adic integral method. Zbl 1453.11033Simsek, Yilmaz 6 2019 Generating function for \(q\)-Eulerian polynomials and their decomposition and applications. Zbl 1284.05041Alkan, Mustafa; Simsek, Yilmaz 6 2013 Barnes’ type multiple Changhee \(q\)-zeta functions. Zbl 1088.11088Simsek, Yilmaz; Kim, Taekyun; Pyung, In-Soo 6 2005 A study on the \(p\)-adic integral representation on \(\mathbb Z_p\) associated with Bernstein and Bernoulli polynomials. Zbl 1221.11058Jang, Lee-Chae; Kim, Won-Joo; Simsek, Yilmaz 6 2010 Generalized Dedekind sums associated with the Abel sum and the Einstein and Lambert series. Zbl 1064.11036Simsek, Yilmaz 6 2004 A unified presentation of certain meromorphic functions related to the families of the partial zeta type functions and the \(L\)-functions. Zbl 1311.30008Srivastava, H. M.; Özden, Hacer; Cangül, Ismail Naci; Simsek, Yilmaz 6 2012 Unification of multiple Lerch-zeta type functions. Zbl 1270.11088Aygüneş, A. Ahmet; Simsek, Yilmaz 6 2011 Multiple interpolation functions of higher order \((h,q)\)-Bernoulli numbers. Zbl 1192.11012Simsek, Yilmaz 6 2008 Unified representation of the family of \(L\)-functions. Zbl 1284.11121Özden, Hacer; Simsek, Yilmaz 6 2013 On generalized Hardy sums \(s_5(h,k)\). Zbl 1072.11030Simsek, Y. 5 2004 Identities and relations on the \(q\)-Apostol type Frobenius-Euler numbers and polynomials. Zbl 1410.05012Kucukoglu, Irem; Simsek, Yilmaz 5 2019 Transformation for four Titchmarsh-type infinite integrals and generalized Dedekind sums associated with Lambert series. Zbl 1068.11025Simsek, Yilmaz; Yang, Sheldon 5 2004 Theorems on three-term relations for Hardy sums. Zbl 0916.11026Şimşek, Yılmaz 5 1998 On the Hermite base Genocchi polynomials. Zbl 1275.11044Kurt, Burak; Simsek, Yilmaz 5 2013 Identities and relations for Hermite-based Milne-Thomson polynomials associated with Fibonacci and Chebyshev polynomials. Zbl 1456.05007Kilar, Neslihan; Simsek, Yilmaz 4 2021 Computational formulas and identities for new classes of Hermite-based Milne-Thomson type polynomials: analysis of generating functions with Euler’s formula. Zbl 1470.05017Kilar, Neslihan; Simsek, Yilmaz 4 2021 Construction and computation of unified Stirling-type numbers emerging from \(p\)-adic integrals and symmetric polynomials. Zbl 1480.11027Kucukoglu, Irem; Simsek, Yilmaz 2 2021 Analysis of Apostol-type numbers and polynomials with their approximations and asymptotic behavior. Zbl 1476.11061Simsek, Yilmaz 2 2021 New integral formulas and identities involving special numbers and functions derived from certain class of special combinatorial sums. Zbl 1473.11055Simsek, Yilmaz 1 2021 New computational formulas for special numbers and polynomials derived from applying trigonometric functions to generating functions. Zbl 1476.11044Kilar, Neslihan; Simsek, Yilmaz 1 2021 Miscellaneous formulae for the certain class of combinatorial sums and special numbers. Zbl 1476.11035Simsek, 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 1499.05041Kucukoglu, 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 1499.05039Kilar, 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 1484.11072Gun, Damla; Simsek, Yilmaz 7 2020 Dedekind and Hardy type sums and trigonometric sums induced by quadrature formulas. Zbl 07216532Milovanović, Gradimir V.; Simsek, Yilmaz 4 2020 A new family of combinatorial numbers and polynomials associated with Peters numbers and polynomials. Zbl 1474.11073Simsek, Yilmaz 1 2020 On Boole-type combinatorial numbers and polynomials. Zbl 1499.05023Simsek, Yilmaz 1 2020 Identities for special numbers and polynomials involving Fibonacci-type polynomials and Chebyshev polynomials. Zbl 1499.05038Kilar, Neslihan; Simsek, Yilmaz 1 2020 New classes of Catalan-type numbers and polynomials with their applications related to \(p\)-adic integrals and computational algorithms. Zbl 1493.05020Küçükoğlu, İrem; Şimşek, Burçin; Şimşek, Yilmaz 1 2020 An approach to negative hypergeometric distribution by generating function for special numbers and polynomials. Zbl 1439.05011Küçükoğlu, İrem; Şimşek, Burçin; Şimşek, Yılmaz 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 1446.11038Kucukoğlu, 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 1429.11046Simsek, Yilmaz 8 2019 Generating functions for finite sums involving higher powers of binomial coefficients: analysis of hypergeometric functions including new families of polynomials and numbers. Zbl 1461.33003Simsek, Yilmaz 8 2019 Peters type polynomials and numbers and their generating functions: approach with \(p\)-adic integral method. Zbl 1453.11033Simsek, Yilmaz 6 2019 Identities and relations on the \(q\)-Apostol type Frobenius-Euler numbers and polynomials. Zbl 1410.05012Kucukoglu, Irem; Simsek, Yilmaz 5 2019 On generating functions for Boole type polynomials and numbers of higher order and their applications. Zbl 1423.05009Simsek, Yilmaz; So, Ji Suk 4 2019 Multidimensional Bernstein polynomials and Bézier curves: analysis of machine learning algorithm for facial expression recognition based on curvature. Zbl 1428.68277Kucukoglu, Irem; Simsek, Buket; Simsek, Yilmaz 4 2019 Relations on Bernoulli and Euler polynomials related to trigonometric functions. Zbl 1463.11067Kilar, Neslihan; Simsek, Yilmaz 3 2019 A class of polynomials and connections with Bernoulli’s numbers. Zbl 1473.11054Milovanović, Gradimir V.; Simsek, Yilmaz; Stojanović, Vladica S. 2 2019 On interpolation functions for the number of \(k\)-ary Lyndon words associated with the Apostol-Euler numbers and their applications. Zbl 1419.05019Kucukoglu, Irem; Simsek, Yilmaz 2 2019 Identities, inequalities for Boole-type polynomials: approach to generating functions and infinite series. Zbl 1499.05050Simsek, Yilmaz; So, Ji Suk 1 2019 Identities for Dirichlet and Lambert-type series arising from the numbers of a certain special word. Zbl 1499.11152Kucukoglu, Irem; Simsek, Yilmaz 1 2019 Identities and relations for Fubini type numbers and polynomials via generating functions and \(p\)-adic integral approach. Zbl 1499.05036Kilar, Neslihan; Simsek, Yilmaz 1 2019 Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and \(p\)-adic \(q\)-integrals. Zbl 1438.11056Şimşek, Yılmaz 23 2018 New families of special numbers for computing negative order Euler numbers and related numbers and polynomials. Zbl 1488.11072Simsek, Yilmaz 7 2018 Special numbers and polynomials including their generating functions in umbral analysis methods. Zbl 1432.05018Simsek, Yilmaz 4 2018 Construction method for generating functions of special numbers and polynomials arising from analysis of new operators. Zbl 06986336Simsek, Yilmaz 4 2018 Observations on identities and relations for interpolation functions and special numbers. Zbl 1413.05010Kucukoglu, Irem; Simsek, Yilmaz 2 2018 Remarks on recurrence formulas for the Apostol-type numbers and polynomials. Zbl 1414.05027Kucukoglu, Irem; Simsek, Yilmaz 1 2018 Generating functions for unification of the multidimensional Bernstein polynomials and their applications. Zbl 1433.11024Simsek, Yilmaz 1 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 1477.68253Kucukoglu, Irem; Simsek, Yilmaz 1 2018 Combinatorial sums and binomial identities associated with the beta-type polynomials. Zbl 1488.05014Şimşek, Yılmaz 1 2018 Computation of \(k\)-ary Lyndon words using generating functions and their differential equations. Zbl 07473992Kucukoglu, Irem; Simsek, Yilmaz 1 2018 Identities on the Changhee numbers and Apostol-type Daehee polynomials. Zbl 1371.11060Simsek, Yilmaz 57 2017 Generating functions for special polynomials and numbers including Apostol-type and Humbert-type polynomials. Zbl 1373.05012Ozdemir, 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 1369.05009Srivastava, H. M.; Kucukoğlu, Irem; Simsek, Yilmaz 20 2017 Computation methods for combinatorial sums and Euler-type numbers related to new families of numbers. Zbl 1430.11033Simsek, Yilmaz 17 2017 A new family of Fubini type numbers and polynomials associated with Apostol-Bernoulli numbers and polynomials. Zbl 1426.11014Kilar, Neslihan; Simsek, Yilmaz 15 2017 Identities and relations related to combinatorial numbers and polynomials. Zbl 1407.11041Simsek, Yilmaz 15 2017 \(k\)-ary Lyndon words and necklaces arising as rational arguments of Hurwitz-Lerch zeta function and Apostol-Bernoulli polynomials. Zbl 1404.05010Kucukoglu, Irem; Bayad, Abdelmejid; Simsek, Yilmaz 7 2017 A continued fraction of Ramanujan and some Ramanujan-Weber class invariants. Zbl 1499.11029Adiga, Chandrashekar; Bulkhali, Nasser Abdo Saeed; Simsek, Yilmaz; Srivastava, H. M. 5 2017 New families of special numbers and polynomials arising from applications of \( p\)-adic \( q\)-integrals. Zbl 1422.11044Kim, Daeyeoul; Ozden Ayna, Hacer; Simsek, Yilmaz; Yardimci, Ahmet 4 2017 On generating functions for the special polynomials. Zbl 1488.11059Simsek, Yilmaz 3 2017 Identities for Korobov-type polynomials arising from functional equations and \(p\)-adic integrals. Zbl 1412.11048Yardimci, Ahmet; Simsek, Yilmaz 1 2017 Apostol type Daehee numbers and polynomials. Zbl 1404.11021Simsek, 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 1426.11015Simsek, Yilmaz 13 2016 Applications on the Apostol-Daehee numbers and polynomials associated with special numbers, polynomials, and \(p\)-adic integrals. Zbl 1419.11044Simsek, Yilmaz; Yardimci, Ahmet 13 2016 Generating functions for two-variable polynomials related to a family of Fibonacci type polynomials and numbers. Zbl 1459.11044Ozdemir, Gulsah; Simsek, Yilmaz 10 2016 A note on generating functions for the unification of the Bernstein type basis functions. Zbl 1474.33009Kucukoglu, Irem; Simsek, Yilmaz 7 2016 Third and higher order convolution identities for Cauchy numbers. Zbl 1446.11041Komatsu, Takao; Simsek, Yilmaz 5 2016 Combinatorial identities associated with Bernstein type basis functions. Zbl 1433.11023Simsek, Yilmaz 4 2016 Analysis of the Bernstein basis functions: an approach to combinatorial sums involving binomial coefficients and Catalan numbers. Zbl 1331.05024Simsek, Yilmaz 21 2015 Hermite base Bernoulli type polynomials on the umbral algebra. Zbl 1318.33015Dere, R.; Simsek, Y. 14 2015 Beta-type polynomials and their generating functions. Zbl 1410.11012Simsek, Yilmaz 8 2015 Generalization of \(q\)-Apostol-type Eulerian numbers and polynomials, and their interpolation functions. Zbl 1378.11030Cangül, I. Naci; Cevik, A. Sinan; Simsek, Yilmaz 4 2015 On Bernstein type polynomials and their applications. Zbl 1350.33017Simsek, Yilmaz; Gunay, Melih 1 2015 Generating functions for the Bernstein type polynomials: a new approach to deriving identities and applications for the polynomials. Zbl 1369.33010Şimşek, Yılmaz 17 2014 Modification and unification of the Apostol-type numbers and polynomials and their applications. Zbl 1334.11015Ozden, Hacer; Simsek, Yilmaz 16 2014 Some array type polynomials associated with special numbers and polynomials. Zbl 1335.33003Bayad, Abdelmejid; Simsek, Yilmaz; Srivastava, H. M. 16 2014 Generating functions for the \(q\)-Bernstein bases. Zbl 1304.65264Goldman, Ron; Simeonov, Plamen; Simsek, Yilmaz 11 2014 A new class of polynomials associated with Bernstein and beta polynomials. Zbl 1303.33013Simsek, Yilmaz 9 2014 Unified presentation of \(p\)-adic \(L\)-functions associated with unification of the special numbers. Zbl 1324.11023Özden, H.; Simsek, Y. 4 2014 Deriving novel formulas and identities for the Bernstein basis functions and their generating functions. Zbl 1356.65041Simsek, Yilmaz 2 2014 Modified Apostol-type polynomials arising from umbral calculus. Zbl 1306.05017Mansour, Toufik; Ozden, Hacer; Simsek, Yilmaz 1 2014 Convolution identities on the Apostol-Hermite base of two variables polynomials. Zbl 1296.33016Bayad, Abdelmejid; Simsek, Yilmaz 1 2014 Families of twisted Bernoulli numbers, twisted Bernoulli polynomials, and their applications. Zbl 1375.11022Simsek, Yilmaz 1 2014 On the generalized Apostol-type Frobenius-Euler polynomials. Zbl 1365.05013Kurt, Burak; Simsek, Yilmaz 116 2013 Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications. Zbl 1293.11044Simsek, Yilmaz 60 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 1295.11023Dere, Rahime; Simsek, Yilmaz; Srivastava, H. M. 36 2013 Functional equations from generating functions: a novel approach to deriving identities for the Bernstein basis functions. Zbl 1297.44002Simsek, Yilmaz 15 2013 Identities associated with generalized Stirling type numbers and Eulerian type polynomials. Zbl 1390.33024Simsek, Yilmaz 8 2013 A new approach to connect algebra with analysis: relationships and applications between presentations and generating functions. Zbl 1319.11009Cangül, Ismail Naci; Çevik, Ahmet Sinan; Şimşek, Yılmaz 8 2013 Unification of the Bernstein-type polynomials and their applications. Zbl 1319.11012Simsek, Yilmaz 7 2013 Generating function for \(q\)-Eulerian polynomials and their decomposition and applications. Zbl 1284.05041Alkan, Mustafa; Simsek, Yilmaz 6 2013 Unified representation of the family of \(L\)-functions. Zbl 1284.11121Özden, Hacer; Simsek, Yilmaz 6 2013 On the Hermite base Genocchi polynomials. Zbl 1275.11044Kurt, Burak; Simsek, Yilmaz 5 2013 Interpolation functions of the Eulerian type polynomials and numbers. Zbl 1376.11017Simsek, Yilmaz 4 2013 Analysis approach to finite monoids. Zbl 1373.20070Çevik, A. Sinan; Cangül, Ismail Naci; Şimşek, Yılmaz 4 2013 Values of twisted Barnes zeta functions at negative integers. Zbl 1276.11145Bayad, A.; Simsek, Y. 3 2013 Generalized \(q\)-Stirling numbers and their interpolation functions. Zbl 1316.11017Özden, Hacer; Cangül, Ismail Naci; Simsek, Yilmaz 2 2013 Some array polynomials over special monoid presentations. Zbl 1355.20042Çevik, Ahmet Sinan; Das, Kinkar Chandra; Simsek, Yilmaz; Cangül, Ismail Naci 2 2013 Normalized polynomials and their multiplication formulas. Zbl 1365.05030Dere, Rahime; Simsek, Yilmaz 1 2013 Applications of umbral algebra to some special polynomials. Zbl 1270.11018Dere, Rahime; Simsek, Yilmaz 49 2012 Some families of Genocchi type polynomials and their interpolation functions. Zbl 1253.05021Srivastava, H. M.; Kurt, Burak; Simsek, Yilmaz 33 2012 Generating functions for \(q\)-Apostol type Frobenius-Euler numbers and polynomials. Zbl 1294.11025Simsek, Yilmaz 21 2012 \(q\)-Bernstein polynomials related to \(q\)-Frobenius-Euler polynomials, \(l\)-functions, and \(q\)-Stirling numbers. Zbl 1262.11039Simsek, Yilmaz; Bayad, Abdelmejid; Lokesha, V. 18 2012 Interpolation function of generalized \(q\)-Bernstein-type basis polynomials and applications. Zbl 1352.65067Simsek, Yilmaz 11 2012 A unified presentation of certain meromorphic functions related to the families of the partial zeta type functions and the \(L\)-functions. Zbl 1311.30008Srivastava, H. M.; Özden, Hacer; Cangül, Ismail Naci; Simsek, Yilmaz 6 2012 Genocchi polynomials associated with the umbral algebra. Zbl 1229.11036Dere, Rahime; Simsek, Yilmaz 17 2011 Construction a new generating function of Bernstein type polynomials. Zbl 1225.30003Simsek, Yilmaz 13 2011 Notes on generalization of the Bernoulli type polynomials. Zbl 1269.11023Kurt, Burak; Simsek, Yilmaz 10 2011 Unification of multiple Lerch-zeta type functions. Zbl 1270.11088Aygüneş, A. Ahmet; Simsek, Yilmaz 6 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 1279.11044Bayad, Abdelmejid; Simsek, Yilmaz 4 2011 A generalization of the Widder potential transform and applications. Zbl 1228.44006Dernek, Neşe; Kurt, Veli; Şimşek, Yılmaz; Yürekli, Osman 3 2011 ...and 71 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 515 Authors 213 Kim, Taekyun 129 Kim, Dae San 113 Simsek, Yilmaz 38 Rim, Seog-Hoon 35 Araci, Serkan 33 Ryoo, Cheon Seoung 31 Srivastava, Hari Mohan 30 Acikgoz, Mehmet 20 Kucukoglu, Irem 19 Kim, Hanyoung 19 Kwon, JongKyum 18 Khan, Waseem Ahmad 18 Kim, Daeyeoul 18 Kim, Minsoo 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 Kilar, Neslihan 8 Kim, Hyekyung 8 Luo, Qiuming 8 Yan, Zuomao 7 Choi, Junesang 7 Khan, Nabiullah U. 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 Milovanović, Gradimir V. 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 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 415 more Authors all top 5 Cited in 144 Serials 112 Advances in Difference Equations 69 Journal of Inequalities and Applications 46 Abstract and Applied Analysis 33 Applied Mathematics and Computation 26 Filomat 26 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. 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