Vol. 34 (2024)
Articles

A note relating to Ramanujan's Bessel index integral

M. L. Glasser
https://orcid.org/0000-0002-1240-346X (unauthenticated) Department of Physics, Clarkson University

Published 2024-01-08

Keywords

  • Bessel function,
  • index integral,
  • Ramanujan

How to Cite

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

Abstract

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.

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