Kilar, Neslihan; Kim, Daeyeoul; Simsek, Yilmaz Formulae bringing to light from certain classes of numbers and polynomials. (English) Zbl 1503.11048 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 1, Paper No. 27, 21 p. (2023). MSC: 11B68 05A15 11B73 26C05 33B10 PDFBibTeX XMLCite \textit{N. Kilar} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 1, Paper No. 27, 21 p. (2023; Zbl 1503.11048) Full Text: DOI
Simsek, Yilmaz; Kim, Daeyeoul Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions. (English) Zbl 1494.11020 J. Inequal. Appl. 2018, Paper No. 220, 9 p. (2018). MSC: 11B68 05A15 PDFBibTeX XMLCite \textit{Y. Simsek} and \textit{D. Kim}, J. Inequal. Appl. 2018, Paper No. 220, 9 p. (2018; Zbl 1494.11020) Full Text: DOI
Kim, Daeyeoul; Ozden Ayna, Hacer; Simsek, Yilmaz; Yardimci, Ahmet New families of special numbers and polynomials arising from applications of \( p\)-adic \( q\)-integrals. (English) Zbl 1422.11044 Adv. Difference Equ. 2017, Paper No. 207, 11 p. (2017). MSC: 11B68 11S80 11B83 11B73 05A19 PDFBibTeX XMLCite \textit{D. Kim} et al., Adv. Difference Equ. 2017, Paper No. 207, 11 p. (2017; Zbl 1422.11044) Full Text: DOI
Açıkgöz, Mehmet; Cangül, Ismail Naci; Kim, Daeyeoul; Simsek, Yilmaz Applications of Hecke operator to generalized Dedekind eta functions. (English) Zbl 1223.11054 Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics 2009, Rethymno, Crete, Greece, September 18–22, 2009. Vol. 1. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0705-3/hbk; 978-0-7354-0709-1/set). AIP Conference Proceedings 1168, 1, 568-571 (2009). MSC: 11F20 11M36 11F25 PDFBibTeX XMLCite \textit{M. Açıkgöz} et al., AIP Conf. Proc. 1168, 568--571 (2009; Zbl 1223.11054) Full Text: DOI
Simsek, Yilmaz; Kim, Daeyeoul; Koo, Ja Kyung On elliptic analogue of the Hardy sums. (English) Zbl 1184.11017 Bull. Korean Math. Soc. 46, No. 1, 1-10 (2009). Reviewer: Mehmet Cenkci (Antalya) MSC: 11F20 11M36 14K25 PDFBibTeX XMLCite \textit{Y. Simsek} et al., Bull. Korean Math. Soc. 46, No. 1, 1--10 (2009; Zbl 1184.11017) Full Text: DOI Link
Simsek, Yilmaz; Cangül, Ismail Naci; Kurt, Veli; Kim, Daeyeoul \(q\)-Genocchi numbers and polynomials associated with \(q\)-Genocchi-type \(l\)-functions. (English) Zbl 1140.33308 Adv. Difference Equ. 2008, Article ID 815750, 12 p. (2008). MSC: 11B65 11S40 11S80 33D15 05A15 05A30 PDFBibTeX XMLCite \textit{Y. Simsek} et al., Adv. Difference Equ. 2008, Article ID 815750, 12 p. (2008; Zbl 1140.33308) Full Text: DOI
Kim, Taekyun; Rim, Seog-Hoon; Simsek, Yilmaz; Kim, Daeyeoul On the analogs of Bernoulli and Euler numbers, related identities and zeta and \(L\)-functions. (English) Zbl 1223.11145 J. Korean Math. Soc. 45, No. 2, 435-453 (2008). Reviewer: Olaf Ninnemann (Berlin) MSC: 11S80 11B68 33E50 PDFBibTeX XMLCite \textit{T. Kim} et al., J. Korean Math. Soc. 45, No. 2, 435--453 (2008; Zbl 1223.11145) Full Text: DOI
Kim, Daeyeoul; Koo, Ja Kyung; Simsek, Yilmaz Arithmetic of infinite products and Rogers-Ramanujan continued fractions. (English) Zbl 1168.11316 Commun. Korean Math. Soc. 22, No. 3, 331-351 (2007). MSC: 11J70 11J81 33D15 11R04 11F11 PDFBibTeX XMLCite \textit{D. Kim} et al., Commun. Korean Math. Soc. 22, No. 3, 331--351 (2007; Zbl 1168.11316) Full Text: DOI
Simsek, Yilmaz; Kurt, Veli; Kim, Daeyeoul New approach to the complete sum of products of the twisted \((h,q)\)-Bernoulli numbers and polynomials. (English) Zbl 1163.11015 J. Nonlinear Math. Phys. 14, No. 1-4, 44-56 (2007). Reviewer: Ping Sun (Shenyang) MSC: 11B68 11S80 PDFBibTeX XMLCite \textit{Y. Simsek} et al., J. Nonlinear Math. Phys. 14, No. 1--4, 44--56 (2007; Zbl 1163.11015) Full Text: DOI
Simsek, Yilmaz; Kim, Daeyeoul; Kim, Taekyun; Rim, Seog-Hoon A note on the sums of powers of consecutive \(q\)-integers. (English) Zbl 1194.11029 J. Appl. Funct. Differ. Equ. (JAFDE) 1, No. 1, 81-88 (2006). Reviewer: Kaori Ota (Tokyo) MSC: 11B68 11S40 PDFBibTeX XMLCite \textit{Y. Simsek} et al., J. Appl. Funct. Differ. Equ. (JAFDE) 1, No. 1, 81--88 (2006; Zbl 1194.11029) Full Text: arXiv
Yang, Sheldon; Simsek, Yilmaz; Kurt, Veli; Kim, Daeyeoul Hardy’s summation, Bose-Einstein integral and \(q\)-version of Bose-Einstein type kernel. (English) Zbl 1162.11375 Proc. Jangjeon Math. Soc. 9, No. 1, 9-18 (2006). MSC: 11M35 11B68 PDFBibTeX XMLCite \textit{S. Yang} et al., Proc. Jangjeon Math. Soc. 9, No. 1, 9--18 (2006; Zbl 1162.11375)
Kim, D.; Jeon, H.; Jeong, S.; Simsek, Y. A set of cube numbers in \(\mathbb F_p\) with prime \(p\equiv 1\pmod 3\). (English) Zbl 1076.11003 Far East J. Math. Sci. (FJMS) 16, No. 2, 207-216 (2005). Reviewer: Franz Lemmermeyer (Bilkent) MSC: 11A07 PDFBibTeX XMLCite \textit{D. Kim} et al., Far East J. Math. Sci. (FJMS) 16, No. 2, 207--216 (2005; Zbl 1076.11003)
Simsek, Yilmaz; Kim, Daeyeoul; Rim, Seog-Hoon On the two-variable Dirichlet \(q\)-\(L\)-series. (English) Zbl 1073.11071 Adv. Stud. Contemp. Math., Kyungshang 10, No. 2, 131-142 (2005). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11S40 11B68 33D05 PDFBibTeX XMLCite \textit{Y. Simsek} et al., Adv. Stud. Contemp. Math., Kyungshang 10, No. 2, 131--142 (2005; Zbl 1073.11071) Full Text: arXiv