Generalized Beta-type integral operators
M. Ali, M. Ghayasuddin, R.B. Paris
TL;DR
This paper evaluates generalized beta-type integral operators involving multi-index Mittag-Leffler functions and introduces a new family of beta-type integrals with potential applications in mathematical analysis.
Contribution
It presents new evaluations of beta-type integrals with multi-index Mittag-Leffler functions and derives a novel family of integrals involving generating functions of two variables.
Findings
Derived explicit formulas for generalized beta-type integrals
Introduced a new family of beta-type integrals with multi-variable generating functions
Discussed potential applications in mathematical analysis and special functions
Abstract
This research note deals with the evaluation of some generalized beta-type integral operators involving the multi-index Mittag-Leffler function . Further, we derive a new family of beta-type integrals involving the product of a multi-index Mittag-Leffler function and a generating function of two variables. Some concluding remarks regarding our present investigation are briefly discussed in the last section.
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Taxonomy
TopicsMathematical functions and polynomials · Mathematical Inequalities and Applications · Fractional Differential Equations Solutions