Araci, SerkanAçıkgöz, MehmetŞen, Erdoğan2022-05-112022-05-1120130022-314X1096-1658https://doi.org/10.1016/j.jnt.2013.04.007https://hdl.handle.net/20.500.11776/7366The 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.en10.1016/j.jnt.2013.04.007info:eu-repo/semantics/openAccessAppell sequenceSheffer sequenceEuler numbers and polynomialsFormal power seriesFermionic p-adic q-integral on Z(p)BernoulliPolynomialsSymmetryArticle1331033483361Q3WOS:0003217289000092-s2.0-84879160570Q2