Elzaki transform of pathway fractional integral formulae involving extended k-hypergeometric functions

Parik Laxmi; Shilpi Jain; Praveen Agarwal

doi:10.1016/B978-0-44-318505-2.00009-X

Elzaki transform of pathway fractional integral formulae involving extended k-hypergeometric functions

Parik Laxmi
, Shilpi Jain
, Praveen Agarwal

Nonlinear Dynamic Research Centre (NDRC)

Poornima University
Poornima College of Engineering
International College of Engineering
International Telematic University Uninettuno

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

We derive the Elzaki transform of the extended pathway fractional integral formulae for extended and confluent k-hypergeometric functions. We also define several different results via specified values of the parameters.

Original language	English
Title of host publication	Recent Trends in Fractional Calculus and its Applications
Publisher	Elsevier
Pages	39-51
Number of pages	13
ISBN (Electronic)	9780443185052
ISBN (Print)	9780443185069
DOIs	https://doi.org/10.1016/B978-0-44-318505-2.00009-X
State	Published - 1 Jan 2024

Keywords

Confluent k-hypergeometric function
Elzaki transform
Fractional calculus
Gauss k-hypergeometric function
Pathway fractional integral
k-beta function
k-gamma function

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10.1016/B978-0-44-318505-2.00009-X

Cite this

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abstract = "We derive the Elzaki transform of the extended pathway fractional integral formulae for extended and confluent k-hypergeometric functions. We also define several different results via specified values of the parameters.",

keywords = "Confluent k-hypergeometric function, Elzaki transform, Fractional calculus, Gauss k-hypergeometric function, Pathway fractional integral, k-beta function, k-gamma function",

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AB - We derive the Elzaki transform of the extended pathway fractional integral formulae for extended and confluent k-hypergeometric functions. We also define several different results via specified values of the parameters.

KW - Confluent k-hypergeometric function

KW - Elzaki transform

KW - Fractional calculus

KW - Gauss k-hypergeometric function

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KW - k-beta function

KW - k-gamma function

UR - https://www.scopus.com/pages/publications/85203218429

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BT - Recent Trends in Fractional Calculus and its Applications

PB - Elsevier

ER -

Elzaki transform of pathway fractional integral formulae involving extended k-hypergeometric functions

Abstract

Keywords

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