On some recursion relations for horn's hypergeometric functions of three variables

P. Agabwal; A. Shehata; S. I. Moustafaf; K. Chakraborty

doi:10.17777/pjms2021.24.2.231

On some recursion relations for horn's hypergeometric functions of three variables

P. Agabwal
, A. Shehata
, S. I. Moustafaf
, K. Chakraborty

International College of Engineering
International Center for Basic and Applied Sciences
Harish Chandra Research Institute
Netaji Subhas University of Technology
Qassim University
Assiut University
Onaizah Colleges

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

2 Scopus citations

Abstract

The principal aim of this paper to study the recursion formulas for the Horns hypergeometric functions of three variables. Earlier in [Shehata, A.; and Moustafa, S.I. Some new results for Horn's hypergeometric functions Ti and IV Journal of Mathematics and Computer Science, (2021), 23 (1), 26-35.], and Pathan et al. [Pathan, M.A.; Shehata, A.; and Moustafa, S.I. Certain new formulas for the Horns hypergeometric functions. Acta Uni-versitatis Apulensis, (2020)] have studied the new results for Horns hypergeometric functions. Motivated by the above works here we will derive some contiguous relation for the families of Horn hypergeometric functions G_a, G_b, G_c, G_dand G^∗_cof three variables. After that we will establish the differential reclusion relations and differential operators for G_a, G_b, G_c, G_dand G^∗_c, of three variables, respectively.

Original language	English
Pages (from-to)	231-247
Number of pages	17
Journal	Proceedings of the Jangjeon Mathematical Society
Volume	24
Issue number	2
DOIs	https://doi.org/10.17777/pjms2021.24.2.231
State	Published - 2021
Externally published	Yes

Keywords

Contiguous relations
Horn hypergeometric functions.
Recursion formulas

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title = "On some recursion relations for horn's hypergeometric functions of three variables",

abstract = "The principal aim of this paper to study the recursion formulas for the Horns hypergeometric functions of three variables. Earlier in [Shehata, A.; and Moustafa, S.I. Some new results for Horn's hypergeometric functions Ti and IV Journal of Mathematics and Computer Science, (2021), 23 (1), 26-35.], and Pathan et al. [Pathan, M.A.; Shehata, A.; and Moustafa, S.I. Certain new formulas for the Horns hypergeometric functions. Acta Uni-versitatis Apulensis, (2020)] have studied the new results for Horns hypergeometric functions. Motivated by the above works here we will derive some contiguous relation for the families of Horn hypergeometric functions Ga, Gb, Gc, Gdand G∗cof three variables. After that we will establish the differential reclusion relations and differential operators for Ga, Gb, Gc, Gdand G∗c, of three variables, respectively.",

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author = "P. Agabwal and A. Shehata and Moustafaf, \{S. I.\} and K. Chakraborty",

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doi = "10.17777/pjms2021.24.2.231",

language = "English",

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AU - Agabwal, P.

AU - Shehata, A.

AU - Moustafaf, S. I.

AU - Chakraborty, K.

PY - 2021

Y1 - 2021

N2 - The principal aim of this paper to study the recursion formulas for the Horns hypergeometric functions of three variables. Earlier in [Shehata, A.; and Moustafa, S.I. Some new results for Horn's hypergeometric functions Ti and IV Journal of Mathematics and Computer Science, (2021), 23 (1), 26-35.], and Pathan et al. [Pathan, M.A.; Shehata, A.; and Moustafa, S.I. Certain new formulas for the Horns hypergeometric functions. Acta Uni-versitatis Apulensis, (2020)] have studied the new results for Horns hypergeometric functions. Motivated by the above works here we will derive some contiguous relation for the families of Horn hypergeometric functions Ga, Gb, Gc, Gdand G∗cof three variables. After that we will establish the differential reclusion relations and differential operators for Ga, Gb, Gc, Gdand G∗c, of three variables, respectively.

AB - The principal aim of this paper to study the recursion formulas for the Horns hypergeometric functions of three variables. Earlier in [Shehata, A.; and Moustafa, S.I. Some new results for Horn's hypergeometric functions Ti and IV Journal of Mathematics and Computer Science, (2021), 23 (1), 26-35.], and Pathan et al. [Pathan, M.A.; Shehata, A.; and Moustafa, S.I. Certain new formulas for the Horns hypergeometric functions. Acta Uni-versitatis Apulensis, (2020)] have studied the new results for Horns hypergeometric functions. Motivated by the above works here we will derive some contiguous relation for the families of Horn hypergeometric functions Ga, Gb, Gc, Gdand G∗cof three variables. After that we will establish the differential reclusion relations and differential operators for Ga, Gb, Gc, Gdand G∗c, of three variables, respectively.

KW - Contiguous relations

KW - Horn hypergeometric functions.

KW - Recursion formulas

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On some recursion relations for horn's hypergeometric functions of three variables

Abstract

Keywords

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