Cangül, I. Naci; Cevik, A. Sinan; Simsek, Yilmaz Generalization of \(q\)-Apostol-type Eulerian numbers and polynomials, and their interpolation functions. (English) Zbl 1378.11030 Adv. Stud. Contemp. Math., Kyungshang 25, No. 2, 211-220 (2015). MSC: 11B68 11S80 05A30 PDFBibTeX XMLCite \textit{I. N. Cangül} et al., Adv. Stud. Contemp. Math., Kyungshang 25, No. 2, 211--220 (2015; Zbl 1378.11030)
Cetin, Elif; Simsek, Yilmaz; Cangul, Ismail Naci Some special finite sums related to the three-term polynomial relations and their applications. (English) Zbl 1417.11038 Adv. Difference Equ. 2014, Paper No. 283, 18 p. (2014). MSC: 11F20 11C08 PDFBibTeX XMLCite \textit{E. Cetin} et al., Adv. Difference Equ. 2014, Paper No. 283, 18 p. (2014; Zbl 1417.11038) Full Text: DOI
Özden, Hacer; Cangül, Ismail Naci; Simsek, Yilmaz Generalized \(q\)-Stirling numbers and their interpolation functions. (English) Zbl 1316.11017 Axioms 2, No. 1, 10-19 (2013). MSC: 11B73 11B68 11S40 11S80 PDFBibTeX XMLCite \textit{H. Özden} et al., Axioms 2, No. 1, 10--19 (2013; Zbl 1316.11017) Full Text: DOI
Cangül, Ismail Naci; Çevik, Ahmet Sinan; Şimşek, Yılmaz A new approach to connect algebra with analysis: relationships and applications between presentations and generating functions. (English) Zbl 1319.11009 Bound. Value Probl. 2013, Paper No. 51, 17 p. (2013). MSC: 11B68 11B73 20F05 PDFBibTeX XMLCite \textit{I. N. Cangül} et al., Bound. Value Probl. 2013, Paper No. 51, 17 p. (2013; Zbl 1319.11009) Full Text: DOI
Çevik, Ahmet Sinan; Das, Kinkar Chandra; Simsek, Yilmaz; Cangül, Ismail Naci Some array polynomials over special monoid presentations. (English) Zbl 1355.20042 Fixed Point Theory Appl. 2013, Paper No. 44, 14 p. (2013). MSC: 20M05 11B68 26C05 26C10 PDFBibTeX XMLCite \textit{A. S. Çevik} et al., Fixed Point Theory Appl. 2013, Paper No. 44, 14 p. (2013; Zbl 1355.20042) Full Text: DOI
Çevik, A. Sinan; Cangül, Ismail Naci; Şimşek, Yılmaz Analysis approach to finite monoids. (English) Zbl 1373.20070 Fixed Point Theory Appl. 2013, Paper No. 15, 18 p. (2013). MSC: 20M05 11B68 20M13 PDFBibTeX XMLCite \textit{A. S. Çevik} et al., Fixed Point Theory Appl. 2013, Paper No. 15, 18 p. (2013; Zbl 1373.20070) Full Text: DOI
Srivastava, H. M.; Özden, Hacer; Cangül, Ismail Naci; Simsek, Yilmaz A unified presentation of certain meromorphic functions related to the families of the partial zeta type functions and the \(L\)-functions. (English) Zbl 1311.30008 Appl. Math. Comput. 219, No. 8, 3903-3913 (2012). MSC: 30D30 PDFBibTeX XMLCite \textit{H. M. Srivastava} et al., Appl. Math. Comput. 219, No. 8, 3903--3913 (2012; Zbl 1311.30008) Full Text: DOI
Cangül, İ. N.; Simsek, Y. A note on interpolation functions of the Frobenius-Euler numbers. (English) Zbl 1261.11020 Todorov, Michail D. (ed.) et al., Application of mathematics in technical and natural sciences. Proceedings of the 2nd international conference (AMiTaNS’10), Sozopol, Bulgaria, June 21–26, 2010. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0856-2/pbk). AIP Conference Proceedings 1301, 59-67 (2010). MSC: 11B68 11S40 11S80 PDFBibTeX XMLCite \textit{İ. N. Cangül} and \textit{Y. Simsek}, AIP Conf. Proc. 1301, 59--67 (2010; Zbl 1261.11020) Full Text: DOI
Özden, Hacer; Cangül, İsmail Naci; Simsek, Yilmaz On the behavior of two variable twisted \(p\)-adic Euler \(q\)-\(l\)-functions. (English) Zbl 1238.11025 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e942-e951 (2009). MSC: 11B68 11S40 11S80 PDFBibTeX XMLCite \textit{H. Özden} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e942--e951 (2009; Zbl 1238.11025) Full Text: DOI
Cangül, İsmail Naci; Özden, Hacer; Simsek, Yilmaz A new approach to \(q\)-Genocchi numbers and their interpolation functions. (English) Zbl 1238.11017 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e793-e799 (2009). MSC: 11B65 11B68 11S80 PDFBibTeX XMLCite \textit{İ. N. Cangül} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e793--e799 (2009; Zbl 1238.11017) 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
Cangül, Ismail Naci; Soydan, Gökhan; Simsek, Yilmaz A \(p\)-adic look at the Diophantine equation \(x^2+11^{2k} = y^n\). (English) Zbl 1229.11054 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, 275-277 (2009). Reviewer: Maurice Mignotte (Strasbourg) MSC: 11D61 11D41 PDFBibTeX XMLCite \textit{I. N. Cangül} et al., AIP Conf. Proc. 1168, 275--277 (2009; Zbl 1229.11054) Full Text: DOI arXiv
Cangül, Ismail Naci; Kurt, Veli; Özden, Hacer; Simsek, Yilmaz On the higher-order \(w\)-\(q\)-Genocchi numbers. (English) Zbl 1187.05004 Adv. Stud. Contemp. Math., Kyungshang 19, No. 1, 39-57 (2009). MSC: 11B65 05A15 11B68 11S80 PDFBibTeX XMLCite \textit{I. N. Cangül} et al., Adv. Stud. Contemp. Math., Kyungshang 19, No. 1, 39--57 (2009; Zbl 1187.05004)
Özden, Hacer; Cangül, İsmail Naci; Simsek, Yilmaz Remarks on \(q\)-Bernoulli numbers associated with Daehee numbers. (English) Zbl 1188.05005 Adv. Stud. Contemp. Math., Kyungshang 18, No. 1, 41-48 (2009). MSC: 11B68 05A10 11S80 11B65 33D99 PDFBibTeX XMLCite \textit{H. Özden} et al., Adv. Stud. Contemp. Math., Kyungshang 18, No. 1, 41--48 (2009; Zbl 1188.05005)
Cangül, I. N.; Özden, H.; Simsek, Y. Generating functions of the \((h,q)\) extension of twisted Euler polynomials and numbers. (English) Zbl 1174.11025 Acta Math. Hung. 120, No. 3, 281-299 (2008). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 11B68 11S40 11S80 PDFBibTeX XMLCite \textit{I. N. Cangül} et al., Acta Math. Hung. 120, No. 3, 281--299 (2008; Zbl 1174.11025) Full Text: DOI
Özden, Hacer; Cangül, Ismail Naci; Simsek, Yilmaz Remarks on sum of products of \((h,q)\)-twisted Euler polynomials and numbers. (English) Zbl 1140.11314 J. Inequal. Appl. 2008, Article ID 816129, 8 p. (2008). MSC: 11B68 PDFBibTeX XMLCite \textit{H. Özden} et al., J. Inequal. Appl. 2008, Article ID 816129, 8 p. (2008; Zbl 1140.11314) Full Text: DOI EuDML
Özden, Hacer; Cangül, Ismail Naci; Simsek, Yilmaz Multivariate interpolation functions of higher-order \(q\)-Euler numbers and their applications. (English) Zbl 1140.11313 Abstr. Appl. Anal. 2008, Article ID 390857, 16 p. (2008). MSC: 11B68 11S80 PDFBibTeX XMLCite \textit{H. Özden} et al., Abstr. Appl. Anal. 2008, Article ID 390857, 16 p. (2008; Zbl 1140.11313) Full Text: DOI EuDML
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
Cangül, Ismail Naci; Kurt, Veli; Simsek, Yilmaz; Pak, Hong Kyung; Rim, Seog-Hoon An invariant \(p\)-adic \(q\)-integral associated with \(q\)-Euler numbers and polynomials. (English) Zbl 1159.11008 J. Nonlinear Math. Phys. 14, No. 1-4, 8-14 (2007). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11B68 05A30 11S80 11B65 PDFBibTeX XMLCite \textit{I. N. Cangül} et al., J. Nonlinear Math. Phys. 14, No. 1--4, 8--14 (2007; Zbl 1159.11008) Full Text: DOI
Özden, Hacer; Simsek, Yilmaz; Cangül, Ismail Naci Euler polynomials associated with \(p\)-adic \(q\)-Euler measure. (English) Zbl 1155.11056 Gen. Math. 15, No. 2-3, 24-37 (2007). MSC: 11S80 11B68 11S40 PDFBibTeX XMLCite \textit{H. Özden} et al., Gen. Math. 15, No. 2--3, 24--37 (2007; Zbl 1155.11056)
Özden, Hacer; Simsek, Yilmaz; Rim, Seog-Hoon; Cangül, Ismail Naci A note on \(p\)-adic \(q\)-Euler measure. (English) Zbl 1143.11008 Adv. Stud. Contemp. Math., Kyungshang 14, No. 2, 233-239 (2007). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11B68 11S80 PDFBibTeX XMLCite \textit{H. Özden} et al., Adv. Stud. Contemp. Math., Kyungshang 14, No. 2, 233--239 (2007; Zbl 1143.11008) Full Text: arXiv