On Certain New Results of Fractional Calculus Involving Product of Generalized Special Functions

The key aim of the present work is to develop extended fractional calculus results associated with product of the generalized extended Mittag–Leffler function, S-function, general class of polynomials and H ¯ -function. Some special cases involving various simpler and useful special functions are given to show the importance and utilizations of our main findings. The outcomes are very general in characteristic and can be utilized to derive numerous interesting fractional integral operators involving simpler special functions and polynomials having uses in scientific and engineering problems. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.