THE TWO-PARAMETRIC MITTAG-LEFFLER FUNCTION AND ITS SOME PROPERTIES

Authors

  • Furqatjon F. Nematjonov Fergana State University

Keywords:

Gamma function, complementary error function, Prabhakar function, Abel integral equation, Beta function.

Abstract

In this article it is presented that the basic properties of the two-parametric Mittag-Leffler function , which is the most straightforward generalization of the classical Mittag-Leffler function . Its order and type are calculated, this article presents a number of formulas relating to the two-parametric Mittag-Leffler function’s recurrence relations and differentiation, introduce some useful integral representations.

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Published

2024-06-05