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Mellin transform method for integral evaluation

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 yieldin...

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Detalles Bibliográficos
Autor principal: Fikioris, George
Lenguaje:eng
Publicado: Morgan & Claypool Publishers 2007
Materias:
Acceso en línea:http://cds.cern.ch/record/1614170
Descripción
Sumario: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 generali