Scientia

Vol. 27 (2016)
Articles

Some dual definite integrals for Bessel functions of the first kind

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

Publicado 2016-03-29

Palabras clave

  • Definite integrals,
  • Improper integrals,
  • Bessel functions,
  • Associated Legendre functions,
  • Hypergeometric functions,
  • Struve functions,
  • Chebyshev polynomials,
  • Jacobi polynomials.
    • ...Más
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Derechos de autor 2025 Scientia

Creative Commons License

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

Cómo citar

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

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.

PDF (Inglés)

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