The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Application of N-Fractional Calculus to Obtain Generating Functions


Affiliations
1 Department o f Mathematics, J.N.V. University, Jodhpur-342 005, India
2 Department of Mathematics, University of Aden, Aden, Yemen
     

   Subscribe/Renew Journal


In this paper we apply the concept of Nishimoto’s fractional calculus (N-fractional calculus) to obtain some linear, bilinear and bilateral generating functions involving hypergeometric functions of two and three variables. Some particular cases are mentioned too.

Keywords

Generating Functions, Hypergeometric Functions, Appell’s Functions, Lauricella’s Functions, Fractional Derivative.
Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 299

PDF Views: 0




  • Application of N-Fractional Calculus to Obtain Generating Functions

Abstract Views: 299  |  PDF Views: 0

Authors

P. K. Banerji
Department o f Mathematics, J.N.V. University, Jodhpur-342 005, India
M. G. Binsaad
Department of Mathematics, University of Aden, Aden, Yemen
F. B. F. Mohsen
Department o f Mathematics, J.N.V. University, Jodhpur-342 005, India

Abstract


In this paper we apply the concept of Nishimoto’s fractional calculus (N-fractional calculus) to obtain some linear, bilinear and bilateral generating functions involving hypergeometric functions of two and three variables. Some particular cases are mentioned too.

Keywords


Generating Functions, Hypergeometric Functions, Appell’s Functions, Lauricella’s Functions, Fractional Derivative.