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Generalized Bessel Functions of the First Kind

Generalized Bessel Functions of the First Kind
Author: Árpád Baricz
Publisher: Springer Science & Business Media
Total Pages: 225
Release: 2010-05-25
Genre: Mathematics
ISBN: 3642122299

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This volume studies the generalized Bessel functions of the first kind by using a number of classical and new findings in complex and classical analysis. It presents interesting geometric properties and functional inequalities for these generalized functions.


Introduction to Bessel Functions

Introduction to Bessel Functions
Author: Frank Bowman
Publisher: Courier Corporation
Total Pages: 148
Release: 2012-04-27
Genre: Mathematics
ISBN: 0486152995

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Self-contained text, useful for classroom or independent study, covers Bessel functions of zero order, modified Bessel functions, definite integrals, asymptotic expansions, and Bessel functions of any real order. 226 problems.


Handbook of Mathematical Functions

Handbook of Mathematical Functions
Author: Milton Abramowitz
Publisher: Courier Corporation
Total Pages: 1068
Release: 1965-01-01
Genre: Mathematics
ISBN: 9780486612720

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An extensive summary of mathematical functions that occur in physical and engineering problems


Bessel Functions and Their Applications

Bessel Functions and Their Applications
Author: B G Korenev
Publisher: CRC Press
Total Pages: 290
Release: 2002-07-25
Genre: Mathematics
ISBN: 9780203216927

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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 intro


Special Functions & Their Applications

Special Functions & Their Applications
Author: N. N. Lebedev
Publisher: Courier Corporation
Total Pages: 340
Release: 2012-04-30
Genre: Mathematics
ISBN: 0486139891

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Famous Russian work discusses the application of cylinder functions and spherical harmonics; gamma function; probability integral and related functions; Airy functions; hyper-geometric functions; more. Translated by Richard Silverman.


Special Functions for Scientists and Engineers

Special Functions for Scientists and Engineers
Author: W. W. Bell
Publisher: Courier Corporation
Total Pages: 272
Release: 2013-07-24
Genre: Technology & Engineering
ISBN: 0486317560

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Physics, chemistry, and engineering undergraduates will benefit from this straightforward guide to special functions. Its topics possess wide applications in quantum mechanics, electrical engineering, and many other fields. 1968 edition. Includes 25 figures.


Series of Bessel and Kummer-Type Functions

Series of Bessel and Kummer-Type Functions
Author: Árpád Baricz
Publisher: Springer
Total Pages: 201
Release: 2018-03-24
Genre: Mathematics
ISBN: 3319743503

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This book is devoted to the study of certain integral representations for Neumann, Kapteyn, Schlömilch, Dini and Fourier series of Bessel and other special functions, such as Struve and von Lommel functions. The aim is also to find the coefficients of the Neumann and Kapteyn series, as well as closed-form expressions and summation formulas for the series of Bessel functions considered. Some integral representations are deduced using techniques from the theory of differential equations. The text is aimed at a mathematical audience, including graduate students and those in the scientific community who are interested in a new perspective on Fourier–Bessel series, and their manifold and polyvalent applications, mainly in general classical analysis, applied mathematics and mathematical physics.


Special Functions of Mathematics for Engineers

Special Functions of Mathematics for Engineers
Author: Larry C. Andrews
Publisher: SPIE Press
Total Pages: 512
Release: 1998
Genre: Mathematics
ISBN: 9780819426161

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Modern engineering and physical science applications demand a thorough knowledge of applied mathematics, particularly special functions. These typically arise in applications such as communication systems, electro-optics, nonlinear wave propagation, electromagnetic theory, electric circuit theory, and quantum mechanics. This text systematically introduces special functions and explores their properties and applications in engineering and science.