Bessel Functions and Their Applications

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CRC Press, Sep 2, 2003 - Mathematics - 376 pages
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Bessel functions are associated with a wide range of problems in important areas of mathematical physics. Bessel function theory is applied to problems of acoustics, radio physics, hydrodynamics, and atomic and nuclear physics. Bessel Functions and Their Applications consists of two parts. In Part One, the author presents a clear and rigorous introduction to the theory of Bessel functions. Part Two is devoted to the application of Bessel functions to physical problems, particularly in the mechanics of solids and heat transfer. This volume was designed for engineers and researchers interested in the applications of the theory, and as such, it provides an indispensable source of reference.
 

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please write the definition and the general solution of it..............

Contents

I
1
II
5
III
7
IV
65
V
131
VI
133
VII
215
VIII
265
IX
267
X
271
XI
275
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Page ii - ANALYTICAL METHODS AND SPECIAL FUNCTIONS An International Series of Monographs in Mathematics EDITOR IN CHIEF: AP Prudnikov (Russia) ASSOCIATE EDITORS: CF Dunkl (USA), H.-J. Glaeske (Germany) and M. Saigo (Japan...
Page ii - Differential Operators and Their Applications, VA Yurko Volume 3 Orthogonal Polynomials in Two Variables, PK Suetin Volume 4 Fourier Transforms and Approximations, AM Sedletskii Volume 5 Hypersingular Integrals and Their Applications, S.
Page viii - Bessel functions considered in the second part of the book. The book consists of two parts. The first part...
Page viii - Neumann addition theorems and the foundation of the theory of products of Bessel functions are considered. Questions concerning differential equations which can be reduced to the Bessel equation and the inhomogeneous Bessel equations are considered in detail.
Page ix - Winkler-type foundation are considered, a§ well as problems which can be reduced to the use of the method of compensating loadings. The method of initial parameters is considered in detail in the context of the problem of the axially symmetrical deformation of a circular conic shell.

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