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http://hdl.handle.net/11452/22465
Title: | A new extension of q-Euler numbers and polynomials related to their interpolation functions |
Authors: | Şimşek, Yılmaz Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü. Özen, Hacer AAH-5090-2021 23973633900 |
Keywords: | P-adic Volkenborn integral Twisted q-Euler numbers and polynomials Zeta and l-functions Function evaluation Interpolation Polynomial approximation Dirichlet Euler numbers Generating functions Interpolation functions Mellin transformation Negative integers New approaches Zeta functions Polynomials |
Issue Date: | Oct-2008 |
Publisher: | Pergamon-Elsevier Science |
Citation: | Özden, H. ve Şimşek, Y. (2008). ''A new extension of q-Euler numbers and polynomials related to their interpolation functions''. Applied Mathematics Letters, 21(9), 934-939. |
Abstract: | In this work, by using a p-adic q-Volkenborn integral, we construct a new approach to generating functions of the (h, q)-Euler numbers and polynomials attached to a Dirichlet character x. By applying the Mellin transformation and a derivative operator to these functions, we define (h, q)-extensions of zeta functions and l-functions, which interpolate (h, q)-extensions of Euler numbers at negative integers. |
URI: | https://doi.org/10.1016/j.aml.2007.10.005 https://www.sciencedirect.com/science/article/pii/S0893965907002947 http://hdl.handle.net/11452/22465 |
ISSN: | 0893-9659 |
Appears in Collections: | Scopus Web of Science |
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