On a Generalized Mittag-Leffler Function and Fractional Integrals

Year 2024, Volume: 7 Issue: 1, 12 - 25, 31.03.2024

Virendra Kumar

https://doi.org/10.33401/fujma.1378534

Abstract

The object of this paper is to study a generalized Mittag-Leffler function and a modified general class of functions which is reducible to several special functions. convergent conditions of these functions are discussed. Some results pertaining to the generalized Mittag-Leffler function and generating relations involving these functions are derived. Further, fractional integrals involving these functions are achieved. Some illustrative exclusive cases of the results are presented.

Keywords

Mittag-Leffler function, Riemann-Liouville fractional integrals, special functions

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