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Generalized k-Cesàro Polynomials
(Padova Univ Press, 2025) Cin, Yahya; Ozmen, Nejla
The main purpose of this study is to introduce k-analogue of the generalized Ces & agrave;ro polynomials and give their some properties. Firstly, generalized k-Ces & agrave;ro 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.
On The Konhauser Biorthogonal Polynomials
(Matematikçiler Derneği, 2017) Özmen, Nejla; Cin, Yahya
In this study, we give new properties of the Konhauser biorthogonal polynomials $Y_{n}^{\alpha }(x;k)$. Various families of multilinear, multilateral generating functions, some special cases and several recurrence relations for these polynomials are obtained.