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007			cr nn 008mamaa
008			220601s2007 sz | o |||| 0|eng d
020			_a9783031016974
024	7		_a10.1007/978-3-031-01697-4 _2doi
040			_aES-MaUEC _bspa _cES-MaUEC _dES-MaUEC
050		4	_aTK7871.6 _b2007 EB
100	1		_aFikioris, George J. _d1962- _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _9686222
245	1	0	_aMellin-Transform Method for Integral Evaluation : _bIntroduction and Applications to Electromagnetics _cby George Fikioris
250			_a1st edition 2007
264		1	_aCham _bSpringer International Publishing _c2007
300			_a1 recurso en línea (IX, 67 páginas)
336			_atexto _btxt _2rdacontent
337			_aelectrónico _bc _2rdamedia
338			_arecurso electrónico _bcr _2rdacarrier
347			_aarchivo de texto _bPDF
490	0		_aSynthesis Lectures on Computational Electromagnetics _x1932-1716
505	0		_aIntroduction -- Mellin Transforms and theGamma Function -- Generalized Hypergeometric Functions, Meijer G-Functions, and Their Numerical Computation -- The Mellin-Transform Method of Evaluating Integrals -- Power Radiated by Certain Circular Antennas -- Aperture Admittance of a 2-D Slot Antenna -- An Integral Arising in the Theory of Biaxially Anisotropic Media -- On Closing the Contour -- Further Discussions -- Summary and Conclusions.
520			_aThis 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. 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.
988			_aSynthesis Collection of Technology_2007
650		7	_2embne _9138526 _aAntenas
650		7	_2embne _9137999 _aElectromagnetismo
776	0	8	_iPrinted edition: _z9783031005695
776	0	8	_iPrinted edition: _z9783031028250
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-01697-4 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942			_2lcc _cLE
998			_b01/2023 _dz _eb _zSI