Date of Award
Doctor of Philosophy
Rajbir S. Dahiya
In this dissertation we establish new theorems for computing certain types of multidimensional Laplace transform pairs from known one-dimensional Laplace transforms. The theorems are applied to the most commonly used special functions and so we obtain many two and three dimensional Laplace transform pairs. As applications, some boundary-value problems involving linear partial differential equations are solved by the use of multi-dimensional Laplace transformation. Also we establish some relations between the Laplace transformation and other integral transformations in two variables.
Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/
Tahsin Ahmad Mughrabi
Mughrabi, Tahsin Ahmad, "Multi-dimensional Laplace transforms and applications " (1988). Retrospective Theses and Dissertations. 8794.