2021-12-292021-12-292011-10-01Özden, H. vd. (2011). "P-Adic distribution of the unification of the Bernoulli, Euler and Genocchi polynomials". Applied Mathematics and Computation, 218(3), Special Issue, 970-973.0096-30031873-5649https://doi.org/10.1016/j.amc.2011.01.075https://www.sciencedirect.com/science/article/pii/S009630031100110Xhttp://hdl.handle.net/11452/23729The 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 distributioneninfo:eu-repo/semantics/closedAccessMathematicsBernoulli polynomialsEuler polynomialsGenerating functionNumbersExtensionZetaPolynomialsBernoulliBernoulli polynomialsEuler polynomialsp-adic distributionDistribution functionsArticle0002942984000602-s2.0-800522606169709732183, Special IssueMathematics, appliedEuler Polynomials; Bernoulli Numbers; P-Adic Q-Integral