SEVERAL NEW CLOSED-FORM EVALUATIONS OF THE GENERALIZED HYPERGEOMETRIC FUNCTION WITH ARGUMENT(Formula Presented)

B. R.Srivatsa Kumar; Insuk Kim; Arjun K. Rathie

SEVERAL NEW CLOSED-FORM EVALUATIONS OF THE GENERALIZED HYPERGEOMETRIC FUNCTION WITH ARGUMENT(Formula Presented)

B. R.Srivatsa Kumar
, Insuk Kim^*
, Arjun K. Rathie

^*Corresponding author for this work

Manipal Institute of Technology, Manipal

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

1 Citation (Scopus)

Abstract

The main objective of this paper is to establish as many as thirty new closedform evaluations of the generalized hypergeometric function _q+1Fq(z) for q = 2, 3, 4. This is achieved by means of separating the generalized hypergeometric function _q+1Fq(z) for q = 1, 2, 3, 4, 5 into even and odd components together with the use of several known infinite series involving central binomial coefficients obtained earlier by Ji and Hei & Ji and Zhang

Original language	English
Article number	7
Journal	Australian Journal of Mathematical Analysis and Applications
Volume	19
Issue number	1
Publication status	Published - 2022

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Cite this

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title = "SEVERAL NEW CLOSED-FORM EVALUATIONS OF THE GENERALIZED HYPERGEOMETRIC FUNCTION WITH ARGUMENT(Formula Presented)",

abstract = "The main objective of this paper is to establish as many as thirty new closedform evaluations of the generalized hypergeometric function q+1Fq(z) for q = 2, 3, 4. This is achieved by means of separating the generalized hypergeometric function q+1Fq(z) for q = 1, 2, 3, 4, 5 into even and odd components together with the use of several known infinite series involving central binomial coefficients obtained earlier by Ji and Hei \& Ji and Zhang",

author = "Kumar, \{B. R.Srivatsa\} and Insuk Kim and Rathie, \{Arjun K.\}",

note = "Funding Information: ISSN (electronic): 1449-5910 {\textcopyright}c 2022 Austral Internet Publishing. All rights reserved. The research work of Insuk Kim was supported by Wonkwang University in 2021. Publisher Copyright: {\textcopyright} 2022. Austral Internet Publishing. All rights reserved",

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AU - Kim, Insuk

AU - Rathie, Arjun K.

N1 - Funding Information: ISSN (electronic): 1449-5910 ©c 2022 Austral Internet Publishing. All rights reserved. The research work of Insuk Kim was supported by Wonkwang University in 2021. Publisher Copyright: © 2022. Austral Internet Publishing. All rights reserved

PY - 2022

Y1 - 2022

N2 - The main objective of this paper is to establish as many as thirty new closedform evaluations of the generalized hypergeometric function q+1Fq(z) for q = 2, 3, 4. This is achieved by means of separating the generalized hypergeometric function q+1Fq(z) for q = 1, 2, 3, 4, 5 into even and odd components together with the use of several known infinite series involving central binomial coefficients obtained earlier by Ji and Hei & Ji and Zhang

AB - The main objective of this paper is to establish as many as thirty new closedform evaluations of the generalized hypergeometric function q+1Fq(z) for q = 2, 3, 4. This is achieved by means of separating the generalized hypergeometric function q+1Fq(z) for q = 1, 2, 3, 4, 5 into even and odd components together with the use of several known infinite series involving central binomial coefficients obtained earlier by Ji and Hei & Ji and Zhang

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SN - 1449-5910

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JO - Australian Journal of Mathematical Analysis and Applications

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ER -

SEVERAL NEW CLOSED-FORM EVALUATIONS OF THE GENERALIZED HYPERGEOMETRIC FUNCTION WITH ARGUMENT(Formula Presented)

Abstract

All Science Journal Classification (ASJC) codes

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