Generalized the special hyper geometric Gp,n,r function's of the uniform integral

Two new unified integral formulas involving a generalized Gp,n,r function are presented in this study. As corollaries, a few intriguing exceptional situations of the major findings are also taken into consideration. The Gp,n,r function's general nature allows for the specialization of the parameters in the given formulas to yield a number of results involving various special functions, including the exponential function, the Gp,n,r function, the Lommel function, the Struve function, the Wright generalized Bessel function, the Bessel function, and the generalized hyper geometric Gp,n,r function. There is also a detailed discussion of further results.

Authors

Publication Details

Journal
International Journal of Materials Science
Published
2025-01-01
DOI
https://doi.org/10.22271/27078221.2025.v6.i1a.65
Primary Topic
Mathematical functions and polynomials
Type
article
Field-Weighted Citation Impact
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article

Generalized the special hyper geometric Gp,n,r function's of the uniform integral

Bhawana Bhawana
International Journal of Materials Science
Mathematical functions and polynomials
article

Generalized the special hyper geometric Gp,n,r function's of the uniform integral

Bhawana Bhawana
article en

Abstract

Two new unified integral formulas involving a generalized Gp,n,r function are presented in this study. As corollaries, a few intriguing exceptional situations of the major findings are also taken into consideration. The Gp,n,r function's general nature allows for the specialization of the parameters in the given formulas to yield a number of results involving various special functions, including the exponential function, the Gp,n,r function, the Lommel function, the Struve function, the Wright generalized Bessel function, the Bessel function, and the generalized hyper geometric Gp,n,r function. There is also a detailed discussion of further results.

International Journal of Materials ScienceVol. 6(1)
Openalex Percentile: Top 83%
Mathematical functions and polynomials
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