application and generating methods for Mellin transforms
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application and generating methods for Mellin transforms by Bruce Rae Johnson

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Published .
Written in English

Subjects:

  • Transformations (Mathematics)

Book details:

Edition Notes

Statementby Bruce Rae Johnson.
The Physical Object
Pagination55 leaves, bound ;
Number of Pages55
ID Numbers
Open LibraryOL14333907M

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  The book also demonstrates how Mellin transform techniques can be used to evaluate these integrals. This book touches on how Mellin transforms can be used in applications relating to image, radar, and acoustic processing, as well as chaos and fractal by: is a platform for academics to share research papers. 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 Cited by: 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.

The self-similar characteristic of Mellin transforms leads to applications in image, radar and acoustic processing, and chaos and fractal theory. The major part of this book develops and applies a method for evaluating integrals analytically and expressing the result either as infinite series or as a sum of generalized hypergeometric functions. Electromagnetic Wave Propagation in Turbulence is devoted to a method for obtaining analytical solutions to problems of electromagnetic wave propagation in turbulence. In a systematic way the monograph presents the Mellin transforms to evaluate analytically integrals that are not in . Mellin Transform. The Mellin transform is extremely useful for certain applications including solving Laplace’s equation in polar coordinates, as well as for estimating integrals. We will first consider the generalised Laplace transform. Generalised Laplace transform.   A timely book on a topic that has witnessed a surge of interest over the last decade, owing in part to several novel applications, most notably in data compression and computational molecular biology. elements of information theory, generating functions, complex asymptotic methods, Mellin transform and its applications, and analytic.

interested in the Mellin transform of the associated functions q w(x,{αi})pn(x,{αi}). This manner of including the weight function is very useful in identifying the orthog-onality and other properties of the Mellin transforms, and was often not the case in Ref. [3]. We first consider the Mellin transformation of Laguerre functions, outlining. The Handbook of Mellin Transforms will be of interest and useful to all researchers and engineers who use mathematical methods. It will become the main source of formulas of Mellin transforms, as.   In Pure and Applied Mathematics, Introduction. The Mellin transform explores a function only for the real positive variable, so one needs to consider both the even and odd parts of the function to be studied. As usual our method consists in calculating explicitly the Mellin transforms of the even and odd parts of the probability density of the determinant y = x 1 . [27] gives an amusing discussion of the method in comparison with standard Mellin transforms techniques. In what follows, we emphasize general methodology. Bibliographical indications relative to more recent works are given on the occasion of the examples. 1. Differences and generating functions.