A note relating to Ramanujan's Bessel index integral

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Publicado: 2024-01-08

DOI: https://doi.org/10.71712/xv19-jc13

Palabras clave:

Bessel function, index integral, Ramanujan

M. L. Glasser

Department of Physics, Clarkson University

Resumen

Ramanujan's Bessel index integral

\[ \int_{-\infty}^{\infty} J_{\mu - \xi}(t) J_{\nu + \xi}(t) \, d\xi \]

and several extensions are evaluated by an alternative method.

Articles

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

Glasser, M. L. (2024). A note relating to Ramanujan’s Bessel index integral. Scientia, 34, 1-3. https://doi.org/10.71712/xv19-jc13