The Journal of the Indian Mathematical Society

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Note on the pRq(α; β; z) Function


Affiliations
1 K. J. Somaiya College of Engineering, Somaiya Vidyavihar University, Department of Science and Humanities, Mumbai, India
2 S.V. National Institute of Technology, Department of Applied Mathematics and Humanities, Surat, India
     

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The aim of this paper is to give some convergence conditions of the pRq(α; β; z) function. We also derive the integral representation of the function pRq(α; β; z) in the form of Mellin-Barnes Integral including its analytic property.

Keywords

Mellin{Barnes Integral, Mittag{Leer function, hypergeometric function, Wright functions
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  • Note on the pRq(α; β; z) Function

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Authors

Rachana Desai
K. J. Somaiya College of Engineering, Somaiya Vidyavihar University, Department of Science and Humanities, Mumbai, India
A. K. Shukla
S.V. National Institute of Technology, Department of Applied Mathematics and Humanities, Surat, India

Abstract


The aim of this paper is to give some convergence conditions of the pRq(α; β; z) function. We also derive the integral representation of the function pRq(α; β; z) in the form of Mellin-Barnes Integral including its analytic property.

Keywords


Mellin{Barnes Integral, Mittag{Leer function, hypergeometric function, Wright functions

References





DOI: https://doi.org/10.18311/jims%2F2021%2F27835