Laplace变换与某些积分变换的关系结果

THE RESULTS OF RELATION BETWEEN LAPLACE TRANSFORM AND CERTAIN INTEGRAL TRANSFORMS

证明Laplace变换与Stieltjes变换间关系定理，并由此得到关于Laplace变换，Stieljes变换，广义Stieltjes变换，Laguerre变换间关系的许多结果，同时给出其对积分方程的应用。

In this paper,a theorem for Laplace and stieltjes trans form is proved. the theorem yields a nunlber of Coro1laries about Laplace,Stie1tijes , generalized stieltjes, Laguerre,Potential. transforms,The theorem gives some ap- plication for soIving integral equations.