The Propagation of Electromagnetic Waves in Parabolic Pipes
Author | : Robert Dean Spence |
Publisher | : |
Total Pages | : 64 |
Release | : 1942 |
Genre | : Electromagnetic waves |
ISBN | : |
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Author | : Robert Dean Spence |
Publisher | : |
Total Pages | : 64 |
Release | : 1942 |
Genre | : Electromagnetic waves |
ISBN | : |
Author | : I. Ye. Kireyeva |
Publisher | : Elsevier |
Total Pages | : 366 |
Release | : 2014-05-12 |
Genre | : Mathematics |
ISBN | : 1483222918 |
Tables of Weber Functions contains values for Weber functions or functions of a parabolic cylinder. Investigators at the Computing Centre of the Academy of Sciences, U.S.S.R. confirm these tables which have been calculated by a computer. The wave equation, expressed in parabolic coordinates, occurs in quantum mechanics, radio physics, aerodynamics, hydrodynamics and other fields. Each section of the tables contains values of the real and imaginary parts of the function Dp[x(i + i)]for 51-55 successive values of x, as determined by the interpolation with respect to x, and four values of p. On the left side are given the values of up(x) and vp(x) for positive values of x, and on the right for negative x with the same absolute values. The book contains twenty groups of sections corresponding to values of
Author | : Herbert Buchholz |
Publisher | : Springer Science & Business Media |
Total Pages | : 255 |
Release | : 2013-11-22 |
Genre | : Science |
ISBN | : 3642883966 |
The subject of this book is the higher transcendental function known as the confluent hypergeometric function. In the last two decades this function has taken on an ever increasing significance because of its use in the application of mathematics to physical and technical problems. There is no doubt that this trend will continue until the general theory of confluent hypergeometric functions becomes familiar to the majority of physicists in much the same way as the cylinder functions, which were previously less well known, are now used in many engineering and physical problems. This book is intended to further this development. The important practical significance of the functions which are treated hardly demands an involved discussion since they include, as special cases, a number of simpler special functions which have long been the everyday tool of the physicist. It is sufficient to mention that these include, among others, the logarithmic integral, the integral sine and cosine, the error integral, the Fresnel integral, the cylinder functions and the cylinder function in parabolic cylindrical coordinates. For anyone who puts forth the effort to study the confluent hypergeometric function in more detail there is the inestimable advantage of being able to understand the properties of other functions derivable from it. This gen eral point of view is particularly useful in connection with series ex pansions valid for values of the argument near zero or infinity and in connection with the various integral representations.
Author | : Herbert Buchholz |
Publisher | : |
Total Pages | : 262 |
Release | : 1969 |
Genre | : Mathematics |
ISBN | : |
Author | : Arthur Frank Harvey |
Publisher | : |
Total Pages | : 1368 |
Release | : 1963 |
Genre | : Microwaves |
ISBN | : |
Author | : Institute of Electrical and Electronics Engineers. Region 6 |
Publisher | : |
Total Pages | : 376 |
Release | : 1966 |
Genre | : Electrical engineering |
ISBN | : |
Author | : Institute of Electrical and Electronics Engineers. Region 6 |
Publisher | : |
Total Pages | : 384 |
Release | : 1966 |
Genre | : Electrical engineering |
ISBN | : |