Article overview
Abstract
The aim of the present paper is to deal with introducing a new family of Changhee polynomials which is called degenerate $q$-Changhee 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 $q$-Changhee polynomials of higher-order with weight $\alpha$ and obtain some new interesting results.
Keywords and Phrases
Degenerate
$q$-Changhee polynomials and numbers with weight $\alpha$higher-order degenerate $q$-Changhee polynomials and numbers with weight $\alpha$Stirling numbers of the first and second kind.
AMS Subject Classification
11B68, 11B83, 11S80.
Reference information
How to Cite
Waseem Ahmad Khan (2024). CONSTRUCTION OF DEGENERATE $q$-CHANGHEE POLYNOMIALS WITH WEIGHT $\alpha$ AND ITS APPLICATIONS. South East Asian Journal of Mathematics and Mathematical Sciences, 20(3), 65-80.