Edit Profile (opens in new tab) Simsek, Yilmaz Co-Author Distance Author ID: simsek.yilmaz Published as: Simsek, Yilmaz; Simsek, Y.; Şimşek, Yılmaz; Şimşek, Yilmaz; Simsek, Yılmaz more...less External Links: ORCID Documents Indexed: 228 Publications since 1992, including 13 Additional arXiv Preprints Reviewing Activity: 114 Reviews Co-Authors: 59 Co-Authors with 150 Joint Publications 2,053 Co-Co-Authors all top 5 Co-Authors 78 single-authored 25 Kucukoglu, Irem 21 Cangul, Ismail Naci 18 Ozden, Hacer 14 Kurt, Veli 13 Kilar, Neslihan 13 Kim, Daeyeoul 12 Srivastava, Hari Mohan 11 Rim, Seog-Hoon 9 Kim, Taekyun 8 Bayad, Abdelmejid 7 Aygunes, Aykut Ahmet 5 Dere, Rahime 4 Acikgoz, Mehmet 4 Cenkci, Mehmet 4 Çevik, Ahmet Sinan 4 Gun, Damla 4 Kurt, Burak 4 Lokesha, V. 4 Milovanović, Gradimir V. 3 Alkan, Mustafa 3 Jang, Lee-Chae 3 Nagaraja, K. M. 3 So, Jisuk 3 Yardimci, Ahmet 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 Kraußhar, Rolf Sören 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 Sabadini, Irene 1 Simeonov, Plamen C. 1 Simsek, Buket 1 Simsek, Selin Selen Ozbek 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 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 all top 5 Fields 203 Number theory (11-XX) 96 Combinatorics (05-XX) 64 Special functions (33-XX) 47 Real functions (26-XX) 22 Functions of a complex variable (30-XX) 12 Field theory and polynomials (12-XX) 12 Computer science (68-XX) 10 Integral transforms, operational calculus (44-XX) 10 Numerical analysis (65-XX) 6 Algebraic geometry (14-XX) 5 Partial differential equations (35-XX) 5 Approximations and expansions (41-XX) 4 Ordinary differential equations (34-XX) 4 Probability theory and stochastic processes (60-XX) 3 Group theory and generalizations (20-XX) 2 Mathematical logic and foundations (03-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-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) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 190 Publications have been cited 2,644 times in 814 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. 95 2005 Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications. Zbl 1293.11044 Simsek, Yilmaz 78 2013 Twisted \((h,q)\)-Bernoulli numbers and polynomials related to twisted \((h,q)\)-zeta function and \(L\)-function. Zbl 1139.11051 Simsek, Yilmaz 77 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. 70 2010 A new extension of \(q\)-Euler numbers and polynomials related to their interpolation functions. Zbl 1152.11009 Özden, Hacer; Simsek, Yilmaz 69 2008 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 61 2005 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 56 2017 Applications of umbral algebra to some special polynomials. Zbl 1270.11018 Dere, Rahime; Simsek, Yilmaz 56 2012 Remarks on \(q\)-Bernoulli numbers associated with Daehee numbers. Zbl 1188.05005 Özden, Hacer; Cangül, İsmail Naci; Simsek, Yilmaz 55 2009 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 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 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 42 2008 Theorems on twisted \(L\)-function and twisted Bernoulli numbers. Zbl 1178.11058 Simsek, Yilmaz 41 2005 On the higher-order \(w\)-\(q\)-Genocchi numbers. Zbl 1187.05004 Cangül, Ismail Naci; Kurt, Veli; Özden, Hacer; Simsek, Yilmaz 40 2009 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 39 2012 A new generating function of (\(q\)-) Bernstein-type polynomials and their interpolation function. Zbl 1185.33013 Simsek, Yilmaz; Açıkgöz, Mehmet 35 2010 Multivariate interpolation functions of higher-order \(q\)-Euler numbers and their applications. Zbl 1140.11313 Özden, Hacer; Cangül, Ismail Naci; Simsek, Yilmaz 35 2008 New families of special numbers for computing negative order Euler numbers and related numbers and polynomials. Zbl 1488.11072 Simsek, Yilmaz 30 2018 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 28 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. 27 2017 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 A note on \(p\)-adic \(q\)-Euler measure. Zbl 1143.11008 Özden, Hacer; Simsek, Yilmaz; Rim, Seog-Hoon; Cangül, Ismail Naci 24 2007 On twisted \(q\)-Hurwitz zeta function and \(q\)-two-variable \(L\)-function. Zbl 1143.11032 Simsek, Yilmaz 22 2007 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 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 21 2015 Modification and unification of the Apostol-type numbers and polynomials and their applications. Zbl 1334.11015 Ozden, Hacer; Simsek, Yilmaz 20 2014 Apostol type Daehee numbers and polynomials. Zbl 1404.11021 Simsek, Yilmaz 19 2016 Computation methods for combinatorial sums and Euler-type numbers related to new families of numbers. Zbl 1430.11033 Simsek, Yilmaz 19 2017 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 Genocchi polynomials associated with the umbral algebra. Zbl 1229.11036 Dere, Rahime; Simsek, Yilmaz 18 2011 A new family of Fubini type numbers and polynomials associated with Apostol-Bernoulli numbers and polynomials. Zbl 1426.11014 Kilar, Neslihan; Simsek, Yilmaz 18 2017 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 Some array type polynomials associated with special numbers and polynomials. Zbl 1335.33003 Bayad, Abdelmejid; Simsek, Yilmaz; Srivastava, H. M. 18 2014 Identities and relations related to combinatorial numbers and polynomials. Zbl 1407.11041 Simsek, Yilmaz 17 2017 Euler polynomials associated with \(p\)-adic \(q\)-Euler measure. Zbl 1155.11056 Özden, Hacer; Simsek, Yilmaz; Cangül, Ismail Naci 17 2007 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 \(q\)-Hardy-Berndt type sums associated with \(q\)-Genocchi type zeta and \(q\)-\(l\)-functions. Zbl 1238.11030 Simsek, Yilmaz 16 2009 Functional equations from generating functions: a novel approach to deriving identities for the Bernstein basis functions. Zbl 1297.44002 Simsek, Yilmaz 16 2013 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 Hermite base Bernoulli type polynomials on the umbral algebra. Zbl 1318.33015 Dere, R.; Simsek, Y. 16 2015 Twisted \(p\)-adic \((h,q)\)-\(L\)-functions. Zbl 1203.11079 Simsek, Yilmaz 16 2010 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 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 note on the alternating sums of powers of consecutive \(q\)-integers. Zbl 1201.11108 Kim, Taekyun; Rim, Seog-Hoon; Simsek, Yilmaz 15 2006 Interpolation function of the \((h,q)\)-extension of twisted Euler numbers. Zbl 1155.11015 Özden, Hacer; Simsek, Yilmaz 15 2008 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 \(q\)-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 On \(q\)-analogues of the twisted \(L\)-functions and \(q\)-twisted Bernoulli numbers. Zbl 1043.11066 Simsek, Yilmaz 13 2003 Generating functions for the \(q\)-Bernstein bases. Zbl 1304.65264 Goldman, Ron; Simeonov, Plamen; Simsek, Yilmaz 13 2014 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 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. 13 2019 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 Interpolation function of generalized \(q\)-Bernstein-type basis polynomials and applications. Zbl 1352.65067 Simsek, Yilmaz 12 2012 Generating functions for two-variable polynomials related to a family of Fibonacci type polynomials and numbers. Zbl 1459.11044 Ozdemir, Gulsah; Simsek, Yilmaz 12 2016 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. 12 2017 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 Remarks on reciprocity laws of the Dedekind and Hardy sums. Zbl 1094.11017 Simsek, Yilmaz 11 2006 On the two-variable Dirichlet \(q\)-\(L\)-series. Zbl 1073.11071 Simsek, Yilmaz; Kim, Daeyeoul; Rim, Seog-Hoon 11 2005 A family of \(p\)-adic twisted interpolation functions associated with the modified Bernoulli numbers. Zbl 1211.11133 Simsek, Yilmaz; Srivastava, H. M. 11 2010 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 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 11 2019 Identities and relations on the \(q\)-Apostol type Frobenius-Euler numbers and polynomials. Zbl 1410.05012 Kucukoglu, Irem; Simsek, Yilmaz 10 2019 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 On \((i,q)\) Bernoulli and Euler numbers. Zbl 1152.11008 Cenkci, M.; Kurt, V.; Rim, S. H.; Simsek, Y. 9 2008 \(k\)-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 Peters type polynomials and numbers and their generating functions: approach with \(p\)-adic integral method. Zbl 1453.11033 Simsek, Yilmaz 9 2019 Identities associated with generalized Stirling type numbers and Eulerian type polynomials. Zbl 1390.33024 Simsek, Yilmaz 9 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 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 Beta-type polynomials and their generating functions. Zbl 1410.11012 Simsek, Yilmaz 8 2015 Identities, inequalities for Boole-type polynomials: approach to generating functions and infinite series. Zbl 1499.05050 Simsek, Yilmaz; So, Ji Suk 8 2019 Unification of multiple Lerch-zeta type functions. Zbl 1270.11088 Aygüneş, A. Ahmet; Simsek, Yilmaz 7 2011 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 Multiple interpolation functions of higher order \((h,q)\)-Bernoulli numbers. Zbl 1192.11012 Simsek, Yilmaz 7 2008 A note on generating functions for the unification of the Bernstein type basis functions. Zbl 1474.33009 Kucukoglu, Irem; Simsek, Yilmaz 7 2016 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 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 A new family of combinatorial numbers and polynomials associated with Peters numbers and polynomials. Zbl 1474.11073 Simsek, Yilmaz 7 2020 Special numbers and polynomials including their generating functions in umbral analysis methods. Zbl 1432.05018 Simsek, Yilmaz 7 2018 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 On the Hermite base Genocchi polynomials. Zbl 1275.11044 Kurt, Burak; Simsek, Yilmaz 7 2013 Generating function for \(q\)-Eulerian polynomials and their decomposition and applications. Zbl 1284.05041 Alkan, Mustafa; Simsek, Yilmaz 7 2013 A note on the sums of powers of consecutive \(q\)-integers. Zbl 1194.11029 Simsek, Yilmaz; Kim, Daeyeoul; Kim, Taekyun; Rim, Seog-Hoon 6 2006 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 and combinatorial identities for Catalan-type numbers and polynomials: their analysis with computational algorithms. Zbl 1514.05020 Kucukoglu, I.; Simsek, Y. 2 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 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 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 Analysis of Apostol-type numbers and polynomials with their approximations and asymptotic behavior. Zbl 1476.11061 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 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 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 Computational identities for extensions of some families of special numbers and polynomials. Zbl 1493.11059 Küçükoğlu, İrem; Şimşek, 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 New classes of recurrence relations involving hyperbolic functions, special numbers and polynomials. Zbl 1499.05015 Simsek, Yilmaz 1 2021 Miscellaneous formulae for the certain class of combinatorial sums and special numbers. Zbl 1476.11035 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 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 5 2020 Dedekind and Hardy type sums and trigonometric sums induced by quadrature formulas. Zbl 07216532 Milovanović, Gradimir V.; 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 A special approach to derive new formulas for some special numbers and polynomials. Zbl 1493.05019 Kilar, Neslihan; Şimşek, Yilmaz 4 2020 On Boole-type combinatorial numbers and polynomials. Zbl 1499.05023 Simsek, 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 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 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. 13 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 11 2019 Identities and relations on the \(q\)-Apostol type Frobenius-Euler numbers and polynomials. Zbl 1410.05012 Kucukoglu, Irem; 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 Identities, inequalities for Boole-type polynomials: approach to generating functions and infinite series. Zbl 1499.05050 Simsek, Yilmaz; So, Ji Suk 8 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 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 5 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 5 2019 Relations on Bernoulli and Euler polynomials related to trigonometric functions. Zbl 1463.11067 Kilar, Neslihan; Simsek, Yilmaz 4 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 30 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 28 2018 Special numbers and polynomials including their generating functions in umbral analysis methods. Zbl 1432.05018 Simsek, Yilmaz 7 2018 Construction method for generating functions of special numbers and polynomials arising from analysis of new operators. Zbl 06986336 Simsek, Yilmaz 5 2018 Combinatorial sums and binomial identities associated with the beta-type polynomials. Zbl 1488.05014 Şimşek, Yılmaz 4 2018 Combinatorial identities and sums for special numbers and polynomials. Zbl 1499.05024 Simsek, Yilmaz 4 2018 Observations on identities and relations for interpolation functions and special numbers. Zbl 1413.05010 Kucukoglu, Irem; Simsek, Yilmaz 3 2018 Generating functions for unification of the multidimensional Bernstein polynomials and their applications. Zbl 1433.11024 Simsek, Yilmaz 3 2018 Identities associated with Milne-Thomson type polynomials and special numbers. Zbl 1497.05008 Simsek, Yilmaz; Cakic, Nenad 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 Remarks on recurrence formulas for the Apostol-type numbers and polynomials. Zbl 1414.05027 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 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. 27 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 22 2017 Computation methods for combinatorial sums and Euler-type numbers related to new families of numbers. Zbl 1430.11033 Simsek, Yilmaz 19 2017 A new family of Fubini type numbers and polynomials associated with Apostol-Bernoulli numbers and polynomials. Zbl 1426.11014 Kilar, Neslihan; Simsek, Yilmaz 18 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. 12 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 5 2017 On generating functions for the special polynomials. Zbl 1488.11059 Simsek, Yilmaz 4 2017 Identities related to special polynomials and combinatorial numbers. Zbl 1499.11130 Yuluklu, Eda; Simsek, Yilmaz; Komatsu, Takao 1 2017 Identities for Korobov-type polynomials arising from functional equations and \(p\)-adic integrals. Zbl 1412.11048 Yardimci, Ahmet; Simsek, Yilmaz 1 2017 The actions on the generating functions for the family of the generalized Bernoulli polynomials. Zbl 1488.11055 Alkan, Mustafa; Simsek, Yilmaz 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 12 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 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 21 2015 Hermite base Bernoulli type polynomials on the umbral algebra. Zbl 1318.33015 Dere, R.; Simsek, Y. 16 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 Modification and unification of the Apostol-type numbers and polynomials and their applications. Zbl 1334.11015 Ozden, Hacer; Simsek, Yilmaz 20 2014 Some array type polynomials associated with special numbers and polynomials. Zbl 1335.33003 Bayad, Abdelmejid; Simsek, Yilmaz; Srivastava, H. M. 18 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 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 Modified Apostol-type polynomials arising from umbral calculus. Zbl 1306.05017 Mansour, Toufik; Ozden, Hacer; Simsek, Yilmaz 1 2014 Families of twisted Bernoulli numbers, twisted Bernoulli polynomials, and their applications. Zbl 1375.11022 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 78 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 16 2013 Identities associated with generalized Stirling type numbers and Eulerian type polynomials. Zbl 1390.33024 Simsek, Yilmaz 9 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 On the Hermite base Genocchi polynomials. Zbl 1275.11044 Kurt, Burak; Simsek, Yilmaz 7 2013 Generating function for \(q\)-Eulerian polynomials and their decomposition and applications. Zbl 1284.05041 Alkan, Mustafa; Simsek, Yilmaz 7 2013 Unified representation of the family of \(L\)-functions. Zbl 1284.11121 Özden, Hacer; Simsek, Yilmaz 6 2013 ...and 90 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 559 Authors 233 Kim, Taekyun 144 Kim, Dae San 121 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 23 Kwon, JongKyum 21 Kucukoglu, Irem 19 Khan, Waseem Ahmad 19 Kim, Hanyoung 19 Kim, Minsoo 19 Lee, Sang Hun 18 Kim, Daeyeoul 16 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 Jung, Nam Soon 11 Kim, Hyekyung 11 Lee, Hui Young 10 Duran, Ugur 10 Hwang, Kyung-Won 10 Jang, Gwan-Woo 10 Kilar, Neslihan 10 Kurt, Veli 9 Khan, Nabiullah U. 9 Lee, Byungje 9 Ozarslan, Mehmet Ali 8 Choi, Junesang 8 Lim, Dongkyu 8 Luo, Qiuming 8 Mansour, Toufik 8 Seo, Jongjin 8 Yan, Zuomao 7 Dağli, Muhammet Cihat 7 Kim, Dojin 7 Komatsu, Takao 7 Mahmudov, Nazim Idrisoglu 7 Usman, Talha 6 He, Yuan 6 Kim, Byungmoon 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 Çevik, Ahmet Sinan 4 Choi, Jongsung 4 Dere, Rahime 4 Hu, Su 4 Jeong, Joohee 4 Lee, Sunjung 4 Lu, Fangxia 4 Moradi, Shahin 4 Qi, Feng 4 Son, Jin-Woo 3 Băleanu, Dumitru I. 3 Bhrawy, Ali Hassan 3 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 Goubi, Mouloud 3 Gun, Damla 3 Husain, Saddam 3 Jolany, Hassan 3 Khan, Idrees A. 3 Kızılateş, Can 3 Lee, Jeong-Gon 3 Li, Tongxing 3 Liu, Guodong 3 Masjed-Jamei, Mohammad 3 Moon, Eun Jung 3 Nahid, Tabinda 3 Ortega, María José ...and 459 more Authors all top 5 Cited in 151 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. 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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 ...and 51 more Serials all top 5 Cited in 43 Fields 663 Number theory (11-XX) 302 Combinatorics (05-XX) 192 Special functions (33-XX) 61 Ordinary differential equations (34-XX) 60 Real functions (26-XX) 35 Partial differential equations (35-XX) 32 Numerical analysis (65-XX) 27 Functions of a complex variable (30-XX) 26 Approximations and expansions (41-XX) 19 Probability theory and stochastic processes (60-XX) 18 Difference and functional equations (39-XX) 12 Integral transforms, operational calculus (44-XX) 12 Operator theory (47-XX) 12 Computer science (68-XX) 10 Field theory and polynomials (12-XX) 10 Harmonic analysis on Euclidean spaces (42-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 Linear and multilinear algebra; matrix theory (15-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Integral equations (45-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Statistics (62-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 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 Topological groups, Lie groups (22-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) Citations by Year