Theorems on n-dimensional Laplace transformations involving the solution of wave equations (original) (raw)

The primary objective of this article is to establish several new results for calculating Laplace transformation pairs of N-dimensions from known one-dimensional Laplace transformations. Next, we applied these results to a number of commonly used special functions to obtain a new Laplace transformation in two and N-dimensions. Finally, several one-dimensional wave equations involving special functions are explicitly solved by using two-dimensional Laplace transformations and applying some of the developed results in Section 2.