Generalized k-Cesàro Polynomials

<span>The main purpose of this study is to introduce </span><em>k</em><span>-analogue of the generalized Cesàro polynomials and give their some properties. Firstly, generalized </span><em>k</em><span>-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 </span><em>k</em><span>-hypergeometric function and some integral representations are obtained.</span>