Vol. 32 (2022)
Articles

Two Theorems with consequences for Bessel Function Integrals.

M.L. Glasser
Department of Physics, Clarkson University, Potsdam, NY.

Published 2022-05-30

Keywords

  • Laplace Transform,
  • Bessel function

Abstract

Diferential equations satis ed by the class of Laplace transforms

\[\int_0^{\infty} e^{-xt} \frac{f(t)}{a^k + t^k} dt, \quad k = 1, 2\]

are solved and applied to various Bessel and related functions.