On the extended Kim's p-adic q-deformed fermionic integrals in the p-adic integer ring

Abstract

The purpose of this paper is to derive some applications of umbral calculus by using extended fermionic p-adic q-integral on Z(p). From those applications, we derive some new interesting properties on the new family of Euler numbers and polynomials. That is, a systemic study of the class of Sheffer sequences in connection with generating function of the weighted q-Euler polynomials is given in the present paper. Crown Copyright (C) 2013 Published by Elsevier Inc. All rights reserved.