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Applications of the Generalized Kummer’s Summation Theorem to Transformation Formulas and Generating Functions

Ahmed Ali Atash

Atash, Ahmed Ali

e

Hussein Saleh Bellehaj

Bellehaj, Hussein Saleh

01 lug 2018

Applications of the Generalized Kummer’s Summation Theorem to Transformation Formulas and Generating Functions's Cover Image

Applied Mathematics and Nonlinear Sciences

Volume 3 (2018): Numero 2 (Luglio 2018)

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Pubblicato online: 01 lug 2018

Pagine: 331 - 338

Ricevuto: 04 gen 2018

Accettato: 01 lug 2018

DOI: https://doi.org/10.21042/AMNS.2018.2.00026

Parole chiave
Transformation formulas, Generating functions, generalized Kummer’s theorem, Exton functions, Saran functions, Jacobi polynomials

© 2018 Ahmed Ali Atash and Hussein Saleh Bellehaj, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this paper, we establish two general transformation formulas for Exton’s quadruple hypergeometric functions K₅ and K₁₂ by application of the generalized Kummer’s summation theorem. Further, a number of generating functions for Jacobi polynomials are also derived as an applications of our main results.

Lingua:: Inglese

Frequenza di pubblicazione:: 1 volte all'anno
Argomenti della rivista:: Scienze biologiche, Scienze della vita, altro, Matematica, Matematica applicata, Matematica generale, Fisica, Fisica, altro

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