Construction of Degenerate q-Daehee Polynomials with Weight α and its Applications

Abstract

The fundamental aim of the present paper is to deal with introducing a new family of Daeheepolynomials which is called degenerate q-Daehee polynomials with weight α by usingp-adic q-integral on Zp. From this definition, we obtain some new summation formulaeand properties. We also introduce the degenerate q-Daehee polynomials of higher orderwith weight α and obtain some new interesting identities.