Generalized Fractional Integral of the Product of Two Aleph-Functions

Authors

R. K. Saxena, Jai Narain Vyas University
J. Ram, Jai Narain Vyas University
D. Kumar, Pratap University

Abstract

This paper is devoted to the study and develops the generalized fractional integral operators for a new special function, which is called Aleph-function. The considered generalized fractional integration operators contain the Appell hypergeometric function F₃ as a kernel. We establish two results of the product of two Aleph-functions involving Saigo-Maeda operators. On account of the general nature of the Saigo-Maeda operators and the Aleph-function, some results involving Saigo, Riemann-Liouville and Erdélyi-Kober integral operators are obtained as special cases of the main result.

Recommended Citation

Saxena, R. K.; Ram, J.; and Kumar, D. (2013). Generalized Fractional Integral of the Product of Two Aleph-Functions, Applications and Applied Mathematics: An International Journal (AAM), Vol. 8, Iss. 2, Article 19.
Available at: https://digitalcommons.pvamu.edu/aam/vol8/iss2/19