Abstract
The Changhee numbers and polynomials are introduced by Kim, Kim and Seo (Adv. Stud. Theor. Phys. 7(20):993–1003, 2013), and the generalizations of those polynomials are characterized. In this paper, we investigate a new q-analog of the higher order degenerate Changhee polynomials and numbers. We derive some new interesting identities related to the degenerate (h,q)-Changhee polynomials and numbers.
Highlights
For a fixed odd prime number p, we make use of the following notation
When one says q-extension, q is variously considered as an indeterminate, a complex q ∈ C, or p-adic number q ∈ Cp
L=0 and the Stirling number of the second kind is given by the generating function to be et – 1 m = m!
Summary
For a fixed odd prime number p, we make use of the following notation. Zp, Qp, and Cp will denote the ring of p-adic rational integers, the field of p-adic rational numbers and the completions of algebraic closure of Qp, respectively. L=0 and the Stirling number of the second kind is given by the generating function to be et – 1 m = m! Kim et al introduced the Changhee polynomials of the first kind of order r, defined by the generating function to be N=0 and Moon et al defined the q-Changhee polynomials of order r as follows: 1+q q(1 + t) + 1 r Tn n=0 qhy(1 + t)–x–y dμ–q(y) t)r–x.
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