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Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
eISSN: 2320-3226
pISSN: 0970-6577
Impact Factor: 4.895 (2017)
DOI: 10.5958/2320-3226
Editor-in-Chief:  Prof. Dr. Lalit Mohan Upadhyaya
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Article Details

Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
Year : 2020, Volume & Issue : BPAS-Maths & Stat 39E(1), JAN-JUN 2020
Page No. : 102-110, Article Type : Original Aticle
Article DOI : 10.5958/2320-3226.2020.00009.0 (Communicated, edited and typeset in Latex by Jyotindra C. Prajapati (Editor). Received April 14, 2019 / Revised January 21, 2020 / Accepted February 17, 2020. Online First Published on June 30, 2020)

On some generating relations involving generalized Humbert functions

Ayman Shehata1, Shimaa I. Moustafa2 , Lalit Mohan Upadhyaya3 and A. Kamal3
Author’s Affiliation : 1,2. Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt. 1. Department of Mathematics, College of Science and Arts at Unaizah, Qassim University, Qassim, Kingdom of Saudi Arabia. 2. Department of Mathematics, Municipal Post Graduate College, Mussoorie, Dehradun, Uttarakhand-248179, India. 4. Department of Mathematics, College of Science and Arts at Muthnib, Qassim University, Qassim, Kingdom of Saudi Arabia. 4. Department of Mathematics, Faculty of Science, Port Said University, Port Said, Egypt. 1. E-mail: [email protected] , 2. E-mail: [email protected] 3. E-mail: [email protected] , [email protected] 4. Email: [email protected]

Corresponding Author : Ayman Shehata,
E-Mail:-[email protected]


Abstract

The main objective of this paper is to construct  new analogous definitions of the families of Humbert functions using the generating function method as the starting point. We study a class of various results in the family of Humbert functions with the help of the families of generating functions, explicit representations, especially differential recurrence relations and study some of the significant properties of this family of functions.

Keywords

Humbert functions, generating functions, recurrences relations. 2020 Mathematics Subject Classification : 33C10, 33C45, 33C50, 33C99, 44A20.
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