AN EXTENSION OF THE k-TYPE HYPERGEOMETRIC MATRIX FUNCTIONS

Shilpi Jain; Iqbal M. Batiha; Dumitru Baleanu; Praveen Agarwal

doi:10.54379/jiasf-2025-2-1

AN EXTENSION OF THE k-TYPE HYPERGEOMETRIC MATRIX FUNCTIONS

Shilpi Jain
, Iqbal M. Batiha
, Dumitru Baleanu
, Praveen Agarwal

Nonlinear Dynamic Research Centre (NDRC)

Poornima College of Engineering
Al-Zaytoonah University of Jordan
Lebanese American University
Saveetha Institute of Medical and Technical Sciences (Deemed to be University)
International College of Engineering

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

Abstract

The main objective of the present paper is to investigate a gener-alizationof (k)-H.M.F. using (k)-M.L.F. with two parameters. Many identities of these extensions are studied, such as derivative formulas, generating relations, symmetric relations, functional relations, summation formulas, integral representations, Mellin transform, and generalizing these identities that satisfy (k)-G.H.M.F. and (k)-C.H.M.F..

Original language	English
Pages (from-to)	1-25
Number of pages	25
Journal	Journal of Inequalities and Special Functions
Volume	16
Issue number	2
DOIs	https://doi.org/10.54379/jiasf-2025-2-1
State	Published - 2025

Keywords

Beta matrix function (B.M.F.)
Gamma matrix function (G.M.F.)
Kosovë
Pochhammer matrix symbol (P.M.S.)
Prishtinë
k-Gauss hypergeometric matrix function ((k)-G.H.M.F.)
k-Pochhammer matrix symbol ((k)-P.M.S.)
k-beta matrix function ((k)-B.M.F.)
k-confluent hypergeometric matrix function ((k)-C.H.M.F.)
k-gamma matrix function ((k)-G.M.F.)
© 2025 Ilirias Research Institute

Access to Document

10.54379/jiasf-2025-2-1

Cite this

@article{bf77121c763d4fdf9be8e76ea22c76cf,

title = "AN EXTENSION OF THE k-TYPE HYPERGEOMETRIC MATRIX FUNCTIONS",

abstract = "The main objective of the present paper is to investigate a gener-alizationof (k)-H.M.F. using (k)-M.L.F. with two parameters. Many identities of these extensions are studied, such as derivative formulas, generating relations, symmetric relations, functional relations, summation formulas, integral representations, Mellin transform, and generalizing these identities that satisfy (k)-G.H.M.F. and (k)-C.H.M.F..",

keywords = "Beta matrix function (B.M.F.), Gamma matrix function (G.M.F.), Kosov{\"e}, Pochhammer matrix symbol (P.M.S.), Prishtin{\"e}, k-Gauss hypergeometric matrix function ((k)-G.H.M.F.), k-Pochhammer matrix symbol ((k)-P.M.S.), k-beta matrix function ((k)-B.M.F.), k-confluent hypergeometric matrix function ((k)-C.H.M.F.), k-gamma matrix function ((k)-G.M.F.), {\textcopyright} 2025 Ilirias Research Institute",

author = "Shilpi Jain and Batiha, \{Iqbal M.\} and Dumitru Baleanu and Praveen Agarwal",

year = "2025",

doi = "10.54379/jiasf-2025-2-1",

language = "English",

volume = "16",

pages = "1--25",

journal = "Journal of Inequalities and Special Functions",

issn = "2217-4303",

publisher = "University of Prishtina",

number = "2",

}

TY - JOUR

T1 - AN EXTENSION OF THE k-TYPE HYPERGEOMETRIC MATRIX FUNCTIONS

AU - Jain, Shilpi

AU - Batiha, Iqbal M.

AU - Baleanu, Dumitru

AU - Agarwal, Praveen

PY - 2025

Y1 - 2025

N2 - The main objective of the present paper is to investigate a gener-alizationof (k)-H.M.F. using (k)-M.L.F. with two parameters. Many identities of these extensions are studied, such as derivative formulas, generating relations, symmetric relations, functional relations, summation formulas, integral representations, Mellin transform, and generalizing these identities that satisfy (k)-G.H.M.F. and (k)-C.H.M.F..

AB - The main objective of the present paper is to investigate a gener-alizationof (k)-H.M.F. using (k)-M.L.F. with two parameters. Many identities of these extensions are studied, such as derivative formulas, generating relations, symmetric relations, functional relations, summation formulas, integral representations, Mellin transform, and generalizing these identities that satisfy (k)-G.H.M.F. and (k)-C.H.M.F..

KW - Beta matrix function (B.M.F.)

KW - Gamma matrix function (G.M.F.)

KW - Kosovë

KW - Pochhammer matrix symbol (P.M.S.)

KW - Prishtinë

KW - k-Gauss hypergeometric matrix function ((k)-G.H.M.F.)

KW - k-Pochhammer matrix symbol ((k)-P.M.S.)

KW - k-beta matrix function ((k)-B.M.F.)

KW - k-confluent hypergeometric matrix function ((k)-C.H.M.F.)

KW - k-gamma matrix function ((k)-G.M.F.)

UR - https://www.scopus.com/pages/publications/105013484913

U2 - 10.54379/jiasf-2025-2-1

DO - 10.54379/jiasf-2025-2-1

M3 - Article

AN - SCOPUS:105013484913

SN - 2217-4303

VL - 16

SP - 1

EP - 25

JO - Journal of Inequalities and Special Functions

JF - Journal of Inequalities and Special Functions

IS - 2

ER -

AN EXTENSION OF THE k-TYPE HYPERGEOMETRIC MATRIX FUNCTIONS

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this