On several new closed-form evaluations for the generalized hypergeometric functions

B. R.Srivatsa Kumar; Dongkyu Lim; Arjun K. Rathie

doi:10.22049/CCO.2022.27794.1355

On several new closed-form evaluations for the generalized hypergeometric functions

B. R.Srivatsa Kumar
, Dongkyu Lim^*
, Arjun K. Rathie

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	737-749
Number of pages	13
Journal	Communications in Combinatorics and Optimization
Volume	8
Issue number	4
DOIs	https://doi.org/10.22049/CCO.2022.27794.1355
Publication status	Published - 12-2023

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics
Control and Optimization

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10.22049/CCO.2022.27794.1355

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

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note = "Funding Information: Acknowledgements. The work of D. Lim was partially supported by the National Research Foundation of Korea (NRF) grant funded by the Korean government (MSIT) NRF-2021R1C1C1010902. Publisher Copyright: {\textcopyright} 2023 Azarbaijan Shahid Madani University.",

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AU - Lim, Dongkyu

AU - Rathie, Arjun K.

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

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ER -

On several new closed-form evaluations for the generalized hypergeometric functions

Abstract

All Science Journal Classification (ASJC) codes

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