Mellin-transform method for integral evaluation

• Main Author: Fikioris, George J., 1962-
• Format: Electronic
• Language: English
• Published: San Rafael, Calif. (1537 Fourth Street, San Rafael, CA 94901 USA) : Morgan & Claypool Publishers, c2007.
• Edition: 1st ed.
• Series: Synthesis lectures on computational electromagnetics (Online), #13.
• Subjects: Antennas (Electronics) > Mathematical models.; Mellin transform.
• Online Access: Abstract with links to full text
• Item Description: Part of: Synthesis digital library of engineering and computer science.; Title from PDF t.p. (viewed Oct. 19, 2008).; Series from website.
• Physical Description: 1 electronic text (ix, 67 p. : ill.) : digital file.; Also available in print.
• Format: Mode of access: World Wide Web.; System requirements: Adobe Acrobat Reader.
• Bibliography: Includes bibliographical references (p. 61-65).
• ISBN: 1598291858 (electronic bk.); 9781598291858 (electronic bk.); 159829184X (pbk.); 9781598291841 (pbk.)
• ISSN: 1932-1716
• Access: Abstract freely available; full-text restricted to subscribers or individual document purchasers.

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.