Construction of Degenerate $q$-Daehee Polynomials with Weight $\alpha $ and its Applications

Authors : Serkan ARACİ

Pages : 25-32

Doi:10.33401/fujma.837479

View : 18 | Download : 9

Publication Date : 2021-03-01

Article Type : Research Paper

Abstract :The fundamental aim of the present paper is to deal with introducing a new family of Daehee polynomials which is called degenerate $q$-Daehee polynomials with weight $\alpha$ by using $p$-adic $q$-integral on $\mathbb{Z}_{p}$. From this definition, we obtain some new summation formulae and properties. We also introduce the degenerate $q$-Daehee polynomials of higher order with weight $\alpha $ and obtain some new interesting identities.
Keywords : Weighted q Bernoulli polynomials, Stirling numbers of first kind, Stirling numbers of second kind, Degenerate q Daehee polynomials with weight alpha