P-Adic distribution of the unification of the Bernoulli, Euler and Genocchi polynomials
No Thumbnail Available
Date
2011-10-01
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science
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
Description
Keywords
Mathematics, Bernoulli polynomials, Euler polynomials, Generating function, Numbers, Extension, Zeta, Polynomials, Bernoulli, Bernoulli polynomials, Euler polynomials, p-adic distribution, Distribution functions
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.