Some fractional calculus findings associated with the product of incomplete ℵ-function and Srivastava polynomials

Abstract

Abstract The generalized fractional calculus operators introduced by Saigo and Maeda in 1996 will be examined and further explored in this paper. By combining an incomplete ℵ-function with a broad category of polynomials, we create generalized fractional calculus formulations. The findings are presented in a concise manner that are helpful in creating certain lists of fractional calculus operators. The derived outcomes are of a generic nature, may yield results in the form of various special functions and in the form of different polynomials as special instances of the primary findings.