CERTAIN PATHWAY FRACTIONAL INTEGRAL FORMULAE INVOLVING EXTENDED k-HYPERGEOMETRIC FUNCTIONS

Shilpi Jain; Parik Laxmi; Georgia Irina Oros; Praveen Agarwal; Shaher Momani

doi:10.1142/S0218348X25400675

CERTAIN PATHWAY FRACTIONAL INTEGRAL FORMULAE INVOLVING EXTENDED k-HYPERGEOMETRIC FUNCTIONS

Shilpi Jain
, Parik Laxmi
, Georgia Irina Oros
, Praveen Agarwal
, Shaher Momani

Nonlinear Dynamic Research Centre (NDRC)

Poornima College of Engineering
Poornima University
University of Oradea
Saveetha Institute of Medical and Technical Sciences (Deemed to be University)
International College of Engineering
University of Jordan

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

2 Scopus citations

Abstract

Inspired by all the earlier generalizations and extensions, in this paper, we introduce some new extensions of the pathway fractional integral formulae for extended and confluent k-type hypergeometric functions. Also, by adding certain values to the parameters, several unique conditions are also described.

Original language	English
Article number	2540067
Journal	Fractals
Volume	33
Issue number	4
DOIs	https://doi.org/10.1142/S0218348X25400675
State	Published - 2025

Keywords

Confluent k-Hypergeometric Function
Gauss kHypergeometric Function
Pathway Fractional Integral
k-Beta Function
k-Gamma Function

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10.1142/S0218348X25400675

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title = "CERTAIN PATHWAY FRACTIONAL INTEGRAL FORMULAE INVOLVING EXTENDED k-HYPERGEOMETRIC FUNCTIONS",

abstract = "Inspired by all the earlier generalizations and extensions, in this paper, we introduce some new extensions of the pathway fractional integral formulae for extended and confluent k-type hypergeometric functions. Also, by adding certain values to the parameters, several unique conditions are also described.",

keywords = "Confluent k-Hypergeometric Function, Gauss kHypergeometric Function, Pathway Fractional Integral, k-Beta Function, k-Gamma Function",

author = "Shilpi Jain and Parik Laxmi and Oros, \{Georgia Irina\} and Praveen Agarwal and Shaher Momani",

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AU - Jain, Shilpi

AU - Laxmi, Parik

AU - Oros, Georgia Irina

AU - Agarwal, Praveen

AU - Momani, Shaher

PY - 2025

Y1 - 2025

N2 - Inspired by all the earlier generalizations and extensions, in this paper, we introduce some new extensions of the pathway fractional integral formulae for extended and confluent k-type hypergeometric functions. Also, by adding certain values to the parameters, several unique conditions are also described.

AB - Inspired by all the earlier generalizations and extensions, in this paper, we introduce some new extensions of the pathway fractional integral formulae for extended and confluent k-type hypergeometric functions. Also, by adding certain values to the parameters, several unique conditions are also described.

KW - Confluent k-Hypergeometric Function

KW - Gauss kHypergeometric Function

KW - Pathway Fractional Integral

KW - k-Beta Function

KW - k-Gamma Function

UR - https://www.scopus.com/pages/publications/105003635463

U2 - 10.1142/S0218348X25400675

DO - 10.1142/S0218348X25400675

M3 - Article

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SN - 0218-348X

VL - 33

JO - Fractals

JF - Fractals

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ER -

CERTAIN PATHWAY FRACTIONAL INTEGRAL FORMULAE INVOLVING EXTENDED k-HYPERGEOMETRIC FUNCTIONS

Abstract

Keywords

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