Special Functions in Applied Mathematics
Certain mathematical functions occur often enough in fields like physics and engineering to warrant special consideration. They form a class of well-studied functions with an extensive literature and, appropriately enough, are collectively called special functions. These functions carry such names as Bessel functions, Laguerre functions, and the like. Most of the special functions encountered in such applications have a common root in their relation to the hypergeometric function. The purpose of this book is to establish this relationship and use it to obtain many of the interesting and important properties of the special functions met in applied mathematics.
KeywordsPower Series Special Function Gamma Function Hypergeometric Function Resonant Cavity
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- 1.For more detail see, for example, W. Kaplan, Advanced Calculus, Addison-Wesley, Reading, MA, 1953.Google Scholar
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