1Department of Mathematics, Faculty of Science, Assiut University, Assiut, 71516, Egypt. Department of Mathematics, College of Science and Arts at Unaizah, Qassim University, Qassim, Kingdom of Saudi Arabia
2Department of Mathematics, Faculty of Science, Assiut University, Assiut, 71516, Egypt
3Department of Mathematics, Municipal Post Graduate College, Mussoorie, Dehradun, Uttarakhand-248179, India
4Department of Mathematics, College of Science and Arts at Muthnib, Qassim University, Qassim, Kingdom of Saudi Arabia. Department of Mathematics, Faculty of Science, Port Said University, Port Said, Egypt
†Corresponding author Ayman Shehata, E-mail: drshehata2006@yahoo.com
*E-mail: shimaa1362011@yahoo.com
**E-mail: lmupadhyaya@rediffmail.com, hetchres@gmail.com
***E-mail: alaa mohamed1@yahoo.com
Online published on 14 August, 2020.
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.
Humbert functions, generating functions, recurrences relations, 33C10, 33C45, 33C50, 33C99, 44A20
