CONSTRUCTION OF DEGENERATE $q$-CHANGHEE POLYNOMIALS WITH WEIGHT $\alpha$ AND ITS APPLICATIONS

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.