Some dual definite integrals for Bessel functions of the first kind

Howard S. Cohl; Sean J. Nair; Rebekah M. Palmer

Vol. 27 (2016)

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Some dual definite integrals for Bessel functions of the first kind

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Howard S. Cohl,
Sean J. Nair,
Rebekah M. Palmer

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Howard S. Cohl
Applied and Computational Mathematics Division, National Institute of Standards and Technology, Gaithersburg, MD, 20899-8910, USA

Sean J. Nair
Mathematics, Science, and Computer Science Magnet Program, Montgomery Blair High School, Silver Spring, MD, 20901, USA

Rebekah M. Palmer
Department of Mathematics, Temple University, Philadelphia, PA, 19122, USA.

Published 2016-03-29

Keywords

Definite integrals,
Improper integrals,
Bessel functions,
Associated Legendre functions,
Hypergeometric functions,
Struve functions,
Chebyshev polynomials,
Jacobi polynomials.

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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Some dual definite integrals for Bessel functions of the first kind. (2016). Scientia Series A: Mathematical Sciences, 27, 15-30. https://revistas.usm.cl/scientia/article/view/202

Abstract

Based on known definite integrals of Bessel functions of the first kind, we obtain exact solutions to unknown definite integrals using the method of integral transforms from Hankel’s transform.

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Some dual definite integrals for Bessel functions of the first kind

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