Some dual definite integrals for Bessel functions of the first kind

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

doi:10.71712/

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Published: 2025-08-08

DOI: https://doi.org/10.71712/

Keywords:

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

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.

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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Issue

Vol. 27 (2016)

Section

Articles

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

How to Cite

Howard S. Cohl, & Sean J. Nair. (2025). Some dual definite integrals for Bessel functions of the first kind (Rebekah M. Palmer, Trans.). Scientia Series A: Mathematical Sciences, 27, 15-30. https://doi.org/10.71712/