Theory of multidimensional Laplace transforms and boundary value problems

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1989
Authors
Babakhani, Ali
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Altmetrics
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Research Projects
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Mathematics
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Abstract

In this dissertation, several theorems on multidimensional Laplace transforms are developed. These theorems are applied to most commonly used special functions to obtain many new two and three dimensional Laplace transform pairs from known one and two dimensional Laplace transforms. Last, some boundary value problems characterized by linear partial differential equations involving heat and wave equations are explicitly solved by using the obtained results to illustrate the applications.

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Mathematics
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