Degree Type
Dissertation
Date of Award
1988
Degree Name
Doctor of Philosophy
Department
Mathematics
First Advisor
Rajbir S. Dahiya
Abstract
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.
DOI
https://doi.org/10.31274/rtd-180813-8841
Publisher
Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/
Copyright Owner
Tahsin Ahmad Mughrabi
Copyright Date
1988
Language
en
Proquest ID
AAI8825945
File Format
application/pdf
File Size
164 pages
Recommended Citation
Mughrabi, Tahsin Ahmad, "Multi-dimensional Laplace transforms and applications " (1988). Retrospective Theses and Dissertations. 8794.
https://lib.dr.iastate.edu/rtd/8794
