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.
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.