Rishi Transform of Bessel Functions of First Kind

Various problems of Statistics, Mathematics, Radio Physics, Nuclear Physics, Atomic Physics, Fluid Mechanics, Engineering and Science can easily handle by applying integral transform techniques on their mathematical models. Problems of heat equation, wave equation, Laplace equation, Helmholtz equation and Schrodinger equation have solutions in terms of Bessel functions. To solve such equations by integral transform methods, we need to know the integral transform of Bessel functions. In this paper, authors determine the Rishi transform of Bessel functions of first kind of orders zero, one and two.

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Publication Details

Journal
Journal of Advanced Research in Applied Mathematics and Statistics
Published
2024-11-27
DOI
https://doi.org/10.24321/2455.7021.202404
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

Rishi Transform of Bessel Functions of First Kind

Sudhanshu Aggarwal
Journal of Advanced Research in Applied Mathematics and Statistics
Algebraic and Geometric Analysis
article

Rishi Transform of Bessel Functions of First Kind

Sudhanshu Aggarwal
article en

Abstract

Various problems of Statistics, Mathematics, Radio Physics, Nuclear Physics, Atomic Physics, Fluid Mechanics, Engineering and Science can easily handle by applying integral transform techniques on their mathematical models. Problems of heat equation, wave equation, Laplace equation, Helmholtz equation and Schrodinger equation have solutions in terms of Bessel functions. To solve such equations by integral transform methods, we need to know the integral transform of Bessel functions. In this paper, authors determine the Rishi transform of Bessel functions of first kind of orders zero, one and two.

Journal of Advanced Research in Applied Mathematics and StatisticsVol. 9(1&2)
Deen Dayal Upadhyaya Gorakhpur University (IN)
Openalex Percentile: Top 64%
Algebraic and Geometric Analysis
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