Published 2024-01-15
DOI:
https://doi.org/10.71712/xv19-jc13Keywords
- Bessel function,
- index integral,
- Ramanujan
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
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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