Some finite integrals involving Mittag-Leffler confluent hypergeometric function

Pal, Ankit

doi:10.1515/anly-2022-1113

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2023

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“…where α, μ, β, ν ä C and ( ) a > R 0. This function has been actively researched in the papers of [20][21][22]. Moreover, this function is identical up to a multiplicative constant Γ(μ), to the four-parameter Mittag-Leffler function introduced by Srivastava and Tomovski [23].…”

Section: Introductionmentioning

confidence: 99%

Dirichlet averages of the generalized confluent hypergeometric function

Pal

2023

Phys. Scr.

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This article deals with the representation of Dirichlet averages of the generalized confluent hypergeometric function (also referred to as a Mittag-Leffler-confluent hypergeometric function), which are presented by means of the Pathway fractional integral operator and of the generalized hypergeometric functions of multiple variables. Additionally, certain particular cases are taken into account when the aforementioned Dirichlet averages coincide with the confluent hypergeometric function and generalized Wright hypergeometric functions.

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