NOVEL IDENTITIES INVOLVING GENERALIZED CARLITZ'S TWISTED $q$-EULER POLYNOMIALS ATTACHED TO $\chi$ UNDER $S_4$

Abstract

The essential purpose of this paper is to give some novel symmetric identities for generalized Carlitz's twisted $q$-Euler polynomials attached to $\chi$ based on the fermionic $p$-adic invariant integral on $Z_p$ under $S_4$.