P-Adic distribution of the unification of the Bernoulli, Euler and Genocchi polynomials

Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/23729

Title:	P-Adic distribution of the unification of the Bernoulli, Euler and Genocchi polynomials
Authors:	Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü. Özden, Hacer AAH-5090-2021 23973633900
Keywords:	Mathematics Bernoulli polynomials Euler polynomials Generating function Numbers Extension Zeta Polynomials Bernoulli Bernoulli polynomials Euler polynomials p-adic distribution Distribution functions
Issue Date:	1-Oct-2011
Publisher:	Elsevier Science
Citation:	Özden, H. vd. (2011). "P-Adic distribution of the unification of the Bernoulli, Euler and Genocchi polynomials". Applied Mathematics and Computation, 218(3), Special Issue, 970-973.
Abstract:	The aim of this paper is to construct p-adic distribution, on X subset of C-p, of the unification of the Bernoulli, Euler and Genocchi polynomials Y-n,Y-beta(x; k, a, b), which is given by mu(n,beta,k,a,b) (j + dp(N)Z(p)) = a(b(dpN-p)) (dp(N))(n-k)(beta/a)(jb) Y-n,Y-beta dpN (j/dp(N), k, a(dpN), b), where Y-n,Y-beta (x; k, a, b) are defined by (1.1). We give some applications related to these functions and distribution
URI:	https://doi.org/10.1016/j.amc.2011.01.075 https://www.sciencedirect.com/science/article/pii/S009630031100110X http://hdl.handle.net/11452/23729
ISSN:	0096-3003 1873-5649
Appears in Collections:	Scopus Web of Science

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