The Journal of the Indian Mathematical Society

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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
     

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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.
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  • Application of N-Fractional Calculus to Obtain Generating Functions

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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.