International Journal of Mathematics and Mathematical Sciences
Volume 12 (1989), Issue 2, Pages 363-376
doi:10.1155/S0161171289000426
Theorem on association of variables in multidimensional Laplace transforms
Joyati Debnath
and Narayan Chandra Debnath
Department of Mathematics and Computer Science, University of Wisconsin, River Falls, River Falls 54022, Wisconsin, USA
Abstract
The inverse of the multidimensional Laplace transform is often obtained by the method of association of variables. In this paper, some basic theorems are developed for evaluating the associated transform of certain types of transformed functions. Many useful associated pairs can be produced with the aid of these fundamental theorems. Several illustrative examples are included.