A note on Boole polynomials with q-parameter

Abstract

Recently, Boole polynomials have been studied by Kim and Kim over the p-adic number field. In this paper, we consider a q-extension of Boole polynomials by using the fermionic p-adic integrals on Zp and give some new identities related to those polynomials.

arXiv comment10 pages

References in corpus (3)

• A note on the Frobenius-Euler numbers and polynomials associated with Bernstein polynomials
• Twisted Dedekind Type Sums Associated with Barnes' Type Multiple Frobenius-Euler l-Functions
• A study on the q-Euler numbers and the fermionic q-integrals of the product of several type $q$-Bernstein polynomials on Zp