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## Mellin-Transform Method for Integral Evaluation: Introduction and Applications to Electromagnets (Softcover)"This volume is a printed version of a work that appears in the ## $21.99 |

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**GOOD:** The book is in good condition, with only a few signs of use or wear: the front cover has a slight curl and some of the first few pages have slightly bent upper corners. The pages are clean and the spine is intact.

## Description

From the back cover: “This book introduces the Mellin-transform method for the exact calculation of one-dimensional definite integrals and illustrates the application of 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 generate using other methods or to deduce from the usual tables of integrals. Yet, as opposed to other methods that require laborious calculations with little ingenuity, the present method is very straightforward to apply. 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.

“The Mellin-transform method and the two aforementioned functions are discussed first. Then the method is applied in three examples to obtain results, which, at least in the antenna/electromagnetics literature, are believed to be new. In the first example, a closed-form expression, as a generalized hypergeometric function, is obtained for the power radiated by a constant-current circular-loop antenna. The second example concerns the admittance of a 2-D slot antenna. In both these examples, the exact closed-form expressions are applied to improve upon existing formulas in standard antenna textbooks. In the third example, a very simple expression for an integral arising in recent, unpublished studies of unbounded, biaxially anisotropic media is derived. Additional examples are also briefly discussed.”

**BRIEF CONTENTS**

- Preface
- 1. Introduction
- 2. Mellin Transforms and the Gamma Function
- 3. Generalized Hypergeometric Functions, Meijer
*G*-Functions, and Their Numerical Computation - 4. The Mellin-Transform Method of Evaluating Integrals
- 5. Power Radiated by Certain Circular Antennas
- 6. Aperture Admittance of a 2-D Slot Antenna
- 7. An Integral Arising in the Theory of Biaxially Anisotropic Media
- 8. On Closing the Contour
- 9. Further Discussions
- 10. Summary and Conclusions
- Appendix A: On the Convergence/Divergernece of Definite Integrals
- Appendix B: The Lemma of Section 2.7
- Appendix C: Alternative Derivations or Verifications for the Integrals of Secion 4.2, and Chapters 5 and 6
- Appendix D: Additional Examples from the Electromagnetics Area
- References
- Author Biography

## Details

- SKU:
- 1649
- Author:
- Fikioris, George
- Publisher:
- Morgan & Claypool Publishers
- Publish Date:
- 30 March 2010
- Format:
- Softcover
- Weight (pounds):
- 0.4
- Dimensions (W”xL”xH”):
- 7.5″x9.2″x0.2″
- ISBN-13:
- 9781598291841
- ISBN-10:
- 159829184X

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