Vol. 23 (2012)
Articles

Odd behavior of a four Bessel integral

M.L Glasser
Departments of Physics and Mathematics Clarkson University, Potsdam, NY 13699-5820, U.S.A

Published 2012-01-15

Keywords

  • Bessel function,
  • Integral,
  • index

How to Cite

M.L Glasser. (2012). Odd behavior of a four Bessel integral. Scientia Series A: Mathematical Sciences, 23, 99-101. https://revistas.usm.cl/scientia/article/view/195

Abstract

The integral \(\int_0^{\infty} x^{\mu} J_{\nu}(ax)J_{\nu}(bx)K_{\nu}(ax)K_{\nu}(bx) \, dx\) is evaluated and shown to be independent of \( \nu \) for \( \mu = 3 \).

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