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Title: | On the behavior of two variable twisted p-adic Euler q - l-functions |
Authors: | Şimşek, Yılmaz Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Anabilim Dalı. 0000-0002-0700-5774 0000-0002-0700-5774 Özden, Hacer Cangül, İsmail Naci AAH-5090-2021 ABA-6206-2020 J-3505-2017 23973633900 57189022403 |
Keywords: | Euler q - l-functions P-adic Euler q - l-functions P-adic q-integral Twisted q-Euler numbers and polynomials Volkenborn integral Q-zeta-functions Q-bernoulli numbers Analytic continuation Q-extension Q-integrals L-series Q-analog Polynomials Z(p) Mathematics Euler numbers Euler q - l-functions Integral representation Negative integers p-adic Euler q - l-functions p-adic q-integral Zeta function Polynomials |
Issue Date: | 15-Dec-2009 |
Publisher: | Pergamon-Elsevier Science |
Citation: | Özden, H. vd. (2009). "On the behavior of two variable twisted p-adic Euler q - l-functions". Nonlinear Analysis, Theory, Methods and Applications, 71(12), E942-E951. |
Abstract: | In this paper, we study on (h, q)-Euler-zeta and l-functions. We give relations between twisted (h, q)-partial zeta function twisted (h, q)-Euler-zeta and twisted two variable (h, q)-Euler l-functions. We also give the value of twisted two variable (h, q)-Euler l-function at s = 0. The main purpose of this paper is to construct two-variable twisted p-adic Euler (h, q)-l-function which interpolates twisted (h, q)-Euler polynomials at negative integers. We give p-adic fermionic integral representation of this functions. |
URI: | https://doi.org/10.1016/j.na.2009.01.048 https://www.sciencedirect.com/science/article/pii/S0362546X09000558 http://hdl.handle.net/11452/24246 |
ISSN: | 0362-546X |
Appears in Collections: | Scopus Web of Science |
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