Laplace transform pairs of N-dimensions and second order linear partial differential equations with constant coefficients

摘要

In this paper, authors will present a new theorem and corollary on multi- dimensional Laplace transformations. They also develop some applications based on this result s. The two-dimensional Laplace transformation is useful in the solution of partial di.erent ial equations. Some illustrative examples related to Laguerre polynomials are also provided.