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

Language

en

Proquest ID

AAI8825945

File Format

application/pdf

File Size

164 pages

Included in

Mathematics Commons

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