CERTAIN NEW RESULTS FOR SOME HORNS HYPERGEOMETRIC FUNCTIONS IN TWO VARIABLES

S. Jain; J. Younis; P. Agarwal; Mohamed A.Abd El Salam

CERTAIN NEW RESULTS FOR SOME HORNS HYPERGEOMETRIC FUNCTIONS IN TWO VARIABLES

S. Jain
, J. Younis
, P. Agarwal
, Mohamed A.Abd El Salam

Nonlinear Dynamic Research Centre (NDRC)

Poornima College of Engineering
University of Aden
Al-Azhar University

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

1 Scopus citations

Abstract

In this paper, we introduce new transformations for Horn’s double hypergeometric functions G₁, G₂ and G₃ . Also deduce new integral representations of Euler-type involving these functions in terms of hypergeometric functions of two variables.

Original language	English
Pages (from-to)	125-132
Number of pages	8
Journal	Palestine Journal of Mathematics
Volume	12
Issue number	1
State	Published - 2023

Keywords

Beta function
Eulerian integrals
Horn double functions
transformation formulas

Cite this

@article{61e5f7c62c6649f382064834ad068420,

title = "CERTAIN NEW RESULTS FOR SOME HORNS HYPERGEOMETRIC FUNCTIONS IN TWO VARIABLES",

abstract = "In this paper, we introduce new transformations for Horn{\textquoteright}s double hypergeometric functions G1, G2 and G3 . Also deduce new integral representations of Euler-type involving these functions in terms of hypergeometric functions of two variables.",

keywords = "Beta function, Eulerian integrals, Horn double functions, transformation formulas",

author = "S. Jain and J. Younis and P. Agarwal and \{El Salam\}, \{Mohamed A.Abd\}",

note = "Publisher Copyright: {\textcopyright} Palestine Polytechnic University-PPU 2023.",

year = "2023",

language = "English",

volume = "12",

pages = "125--132",

journal = "Palestine Journal of Mathematics",

issn = "2219-5688",

publisher = "Palestine Polytechnic University",

number = "1",

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T1 - CERTAIN NEW RESULTS FOR SOME HORNS HYPERGEOMETRIC FUNCTIONS IN TWO VARIABLES

AU - Jain, S.

AU - Younis, J.

AU - Agarwal, P.

AU - El Salam, Mohamed A.Abd

N1 - Publisher Copyright: © Palestine Polytechnic University-PPU 2023.

PY - 2023

Y1 - 2023

N2 - In this paper, we introduce new transformations for Horn’s double hypergeometric functions G1, G2 and G3 . Also deduce new integral representations of Euler-type involving these functions in terms of hypergeometric functions of two variables.

AB - In this paper, we introduce new transformations for Horn’s double hypergeometric functions G1, G2 and G3 . Also deduce new integral representations of Euler-type involving these functions in terms of hypergeometric functions of two variables.

KW - Beta function

KW - Eulerian integrals

KW - Horn double functions

KW - transformation formulas

UR - https://www.scopus.com/pages/publications/85153789458

M3 - Article

AN - SCOPUS:85153789458

SN - 2219-5688

VL - 12

SP - 125

EP - 132

JO - Palestine Journal of Mathematics

JF - Palestine Journal of Mathematics

IS - 1

ER -

CERTAIN NEW RESULTS FOR SOME HORNS HYPERGEOMETRIC FUNCTIONS IN TWO VARIABLES

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