Some dual definite integrals for Bessel functions of the first kind

Article Sidebar

PDF
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.

Main Article Content

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.

Article Details

Issue

Vol. 27 (2016)

Section

Articles
Creative Commons License

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/