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Some Results Involving the pRq(α,β,z) Function


Affiliations
1 Department of Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology,Surat-395007, India
2 Department of Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology , Surat-395007, India
     

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The main aim of this paper is to discuss some classical properties of the pRq(α, β; z) function such as integrals involving pRq(α, β; z) function and its product with some algebraic functions and higher Tanscendental function viz, Hermite polynomial, Legendre polynomial, Legendre function, Jacobi polynomial, Galue type Struve function, six summation formulas of pRq(α, β; z) function and relation betweenpRq(α, β; z) and pRq(α, β;- z) functions.

Keywords

Gamma Function, Beta Function, Hermite Polynomial, Legendre Polynomial, Legendre Function, Jacobi Polynomial, Galue Type Struve Function(GTSF).
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  • Some Results Involving the pRq(α,β,z) Function

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Authors

Yogesh M. Thakkar
Department of Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology,Surat-395007, India
Ajay Shukla
Department of Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology , Surat-395007, India

Abstract


The main aim of this paper is to discuss some classical properties of the pRq(α, β; z) function such as integrals involving pRq(α, β; z) function and its product with some algebraic functions and higher Tanscendental function viz, Hermite polynomial, Legendre polynomial, Legendre function, Jacobi polynomial, Galue type Struve function, six summation formulas of pRq(α, β; z) function and relation betweenpRq(α, β; z) and pRq(α, β;- z) functions.

Keywords


Gamma Function, Beta Function, Hermite Polynomial, Legendre Polynomial, Legendre Function, Jacobi Polynomial, Galue Type Struve Function(GTSF).

References





DOI: https://doi.org/10.18311/jims%2F2023%2F29001