The Journal of the Indian Mathematical Society

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Some Results on the Extended Hypergeometric Function


Affiliations
1 Department of Applied Mathematics & Humanities, S. V. National Institute of Technology, Surat - 395 007, India
     

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An attempt is made to define the extended Pochhammer symbol (λ)n,a which leads to an extension of the classical hypergeometric functions. Differential equations and some properties have also been discussed.

Keywords

Gamma Function, Pochhammer Symbols, Hypergeometric Functions, Modified Fractional Calculus.
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  • Some Results on the Extended Hypergeometric Function

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Authors

Ranjan Kumar Jana
Department of Applied Mathematics & Humanities, S. V. National Institute of Technology, Surat - 395 007, India
Bhumika Maheshwari
Department of Applied Mathematics & Humanities, S. V. National Institute of Technology, Surat - 395 007, India
Ajay Kumar Shukla
Department of Applied Mathematics & Humanities, S. V. National Institute of Technology, Surat - 395 007, India

Abstract


An attempt is made to define the extended Pochhammer symbol (λ)n,a which leads to an extension of the classical hypergeometric functions. Differential equations and some properties have also been discussed.

Keywords


Gamma Function, Pochhammer Symbols, Hypergeometric Functions, Modified Fractional Calculus.

References





DOI: https://doi.org/10.18311/jims%2F2020%2F24874