Certain unified integrals involving a multivariate mittag–leffler function

Shilpi Jain; Ravi P. Agarwal; Praveen Agarwal; Prakash Singh

doi:10.3390/axioms10020081

Certain unified integrals involving a multivariate mittag–leffler function

Shilpi Jain
, Ravi P. Agarwal
, Praveen Agarwal
, Prakash Singh

Nonlinear Dynamic Research Centre (NDRC)

Poornima College of Engineering
Texas A&M University
International College of Engineering
Poornima University

Research output: Contribution to journal › Article › peer-review

31 Scopus citations

Abstract

A remarkably large number of unified integrals involving the Mittag–Leffler function have been presented. Here, with the same technique as Choi and Agarwal, we propose the establishment of two generalized integral formulas involving a multivariate generalized Mittag–Leffler function, which are expressed in terms of the generalized Lauricella series due to Srivastava and Daoust. We also present some interesting special cases.

Original language	English
Article number	81
Journal	Axioms
Volume	10
Issue number	2
DOIs	https://doi.org/10.3390/axioms10020081
State	Published - Jun 2021

Keywords

Generalized (Wright) hypergeometric functions pΨ
Generalized Lauricella series
Generalized Mittag–Leffler function
Generalized hypergeometric function F
Oberhettinger’s integral formula

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10.3390/axioms10020081

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title = "Certain unified integrals involving a multivariate mittag–leffler function",

abstract = "A remarkably large number of unified integrals involving the Mittag–Leffler function have been presented. Here, with the same technique as Choi and Agarwal, we propose the establishment of two generalized integral formulas involving a multivariate generalized Mittag–Leffler function, which are expressed in terms of the generalized Lauricella series due to Srivastava and Daoust. We also present some interesting special cases.",

keywords = "Generalized (Wright) hypergeometric functions pΨ, Generalized Lauricella series, Generalized Mittag–Leffler function, Generalized hypergeometric function F, Oberhettinger{\textquoteright}s integral formula",

author = "Shilpi Jain and Agarwal, \{Ravi P.\} and Praveen Agarwal and Prakash Singh",

note = "Publisher Copyright: {\textcopyright} 2021 by the authors. Licensee MDPI, Basel, Switzerland.",

year = "2021",

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language = "English",

volume = "10",

journal = "Axioms",

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AU - Jain, Shilpi

AU - Agarwal, Ravi P.

AU - Agarwal, Praveen

AU - Singh, Prakash

PY - 2021/6

Y1 - 2021/6

N2 - A remarkably large number of unified integrals involving the Mittag–Leffler function have been presented. Here, with the same technique as Choi and Agarwal, we propose the establishment of two generalized integral formulas involving a multivariate generalized Mittag–Leffler function, which are expressed in terms of the generalized Lauricella series due to Srivastava and Daoust. We also present some interesting special cases.

AB - A remarkably large number of unified integrals involving the Mittag–Leffler function have been presented. Here, with the same technique as Choi and Agarwal, we propose the establishment of two generalized integral formulas involving a multivariate generalized Mittag–Leffler function, which are expressed in terms of the generalized Lauricella series due to Srivastava and Daoust. We also present some interesting special cases.

KW - Generalized (Wright) hypergeometric functions pΨ

KW - Generalized Lauricella series

KW - Generalized Mittag–Leffler function

KW - Generalized hypergeometric function F

KW - Oberhettinger’s integral formula

UR - https://www.scopus.com/pages/publications/85106577303

U2 - 10.3390/axioms10020081

DO - 10.3390/axioms10020081

M3 - Article

AN - SCOPUS:85106577303

SN - 2075-1680

VL - 10

JO - Axioms

JF - Axioms

IS - 2

M1 - 81

ER -

Certain unified integrals involving a multivariate mittag–leffler function

Abstract

Keywords

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