Vol. 32 (2022)
Articles

Two Theorems with consequences for Bessel Function Integrals.

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

Published 2022-01-08

DOI:

https://doi.org/10.71712/zct2-7w04

Keywords

  • Laplace Transform,
  • Bessel function

How to Cite

Glasser, G. (2022). Two Theorems with consequences for Bessel Function Integrals. Scientia Series A: Mathematical Sciences, 32, 135-138. https://doi.org/10.71712/zct2-7w04

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.