Mellin-transform Method for Integral Evaluation
- ISBN-10
- 1598294431
- ISBN-13
- 9781598294439
- Category
- Antennas (Electronics)
- Pages
- 67
- Language
- English
- Published
- 2007
- Author
- George J. Fikioris
Description
This book introduces the Mellin-transform method for the exact calculation of one-dimensional definite integrals, and illustrates the application if this method to electromagnetics problems. Once the basics have been mastered, one quickly realizes that the method is extremely powerful, often yielding closed-form expressions very difficult to come up with other methods or to deduce from the usual tables of integrals. Yet, as opposed to other methods, the present method is very straightforward to apply; it usually requires laborious calculations, but little ingenuity. Two functions, the generalized hypergeometric function and the Meijer G-function, are very much related to the Mellin-transform method and arise frequently when the method is applied. Because these functions can be automatically handled by modern numerical routines, they are now much more useful than they were in the past.
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