Generalized k-Cesàro Polynomials

The main purpose of this study is to introduce k-analogue of the generalized Cesàro polynomials and give their some properties. Firstly, generalized k-Cesàro polynomials are defined with the help of a generating function relation. After getting the explicit form of these polynomials, various generating function relations, the Mellin transform formula, expressions in terms of k-hypergeometric function and some integral representations are obtained.