Some dual definite integrals for Bessel functions of the first kind

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

doi:10.71712/

PDF (inglés)

Publicado: 2025-08-08

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

Palabras clave:

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.

Resumen

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.

Número

Vol. 27 (2016)

Sección

Articles

Esta obra está bajo una licencia internacional Creative Commons Atribución-NoComercial 4.0.

Cómo citar

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