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
October High Institute for Engineering and Technology

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

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)	791-797
Number of pages	7
Journal	Palestine Journal of Mathematics
Volume	13
Issue number	3
State	Published - 2024

Keywords

Beta function
Eulerian integrals
Horn double functions
transformation formulas

Cite this

@article{c1244358dd2b44769cca69686d958f09,

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 \{Abd El Salam\}, \{Mohamed A.\}",

note = "Publisher Copyright: {\textcopyright} Palestine Polytechnic University-PPU 2024.",

year = "2024",

language = "English",

volume = "13",

pages = "791--797",

journal = "Palestine Journal of Mathematics",

issn = "2219-5688",

publisher = "Palestine Polytechnic University",

number = "3",

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AU - Jain, S.

AU - Younis, J.

AU - Agarwal, P.

AU - Abd El Salam, Mohamed A.

N1 - Publisher Copyright: © Palestine Polytechnic University-PPU 2024.

PY - 2024

Y1 - 2024

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/85207686841

M3 - Article

AN - SCOPUS:85207686841

SN - 2219-5688

VL - 13

SP - 791

EP - 797

JO - Palestine Journal of Mathematics

JF - Palestine Journal of Mathematics

IS - 3

ER -

CERTAIN NEW RESULTS FOR SOME HORNS HYPERGEOMETRIC FUNCTIONS IN TWO VARIABLES

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Keywords

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