Integral representation for hypergeometric function of the  Mittag-Leffler type  : Integral representation for hypergeometric function of the  Mittag-Leffler type

Anvar Hasanov; Khilola Yuldashova

doi:10.52754/16948645_2023_2_220

Authors

Hasanovich Mathematical Institute named after Romanovsky V.I
Yuldashovna Mathematical Institute named after Romanovsky V.I

DOI:

https://doi.org/10.52754/16948645_2023_2_220

Keywords:

Mittag-Leffler function, differential equations of fractional order, integral equations of fractional order

Abstract

The Mittag-Leffler function has gained importance and popularity through its applications. When solving differential equations of fractional order and integral equations of fractional order. Also, the Mittag-Leffler function plays an important role in various fields of applied mathematics and engineering sciences, such as chemistry, biology, statistics, thermodynamics, mechanics, quantum physics, computer science, signal processing [1-6].

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Integral representation for hypergeometric function of the Mittag-Leffler type