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Author: Frank Bowman
Publisher: Courier Corporation
Published: 2012-04-27
Total Pages: 148
ISBN-13: 0486152995
DOWNLOAD EBOOKSelf-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.
Author: Frank Bowman
Publisher: Courier Corporation
Published: 1958-01-01
Total Pages: 148
ISBN-13: 0486604624
DOWNLOAD EBOOKSelf-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.
Author: B G Korenev
Publisher: CRC Press
Published: 2002-07-25
Total Pages: 290
ISBN-13: 9780203216927
DOWNLOAD EBOOKBessel 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
Author: George N. Watson
Publisher:
Published: 1922
Total Pages: 822
ISBN-13:
DOWNLOAD EBOOKAuthor: Árpád Baricz
Publisher: Springer
Published: 2018-03-24
Total Pages: 218
ISBN-13: 3319743503
DOWNLOAD EBOOKThis 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.
Author: Albert L. Rabenstein
Publisher: Academic Press
Published: 2014-05-12
Total Pages: 444
ISBN-13: 1483226220
DOWNLOAD EBOOKIntroduction to Ordinary Differential Equations is a 12-chapter text that describes useful elementary methods of finding solutions using ordinary differential equations. This book starts with an introduction to the properties and complex variable of linear differential equations. Considerable chapters covered topics that are of particular interest in applications, including Laplace transforms, eigenvalue problems, special functions, Fourier series, and boundary-value problems of mathematical physics. Other chapters are devoted to some topics that are not directly concerned with finding solutions, and that should be of interest to the mathematics major, such as the theorems about the existence and uniqueness of solutions. The final chapters discuss the stability of critical points of plane autonomous systems and the results about the existence of periodic solutions of nonlinear equations. This book is great use to mathematicians, physicists, and undergraduate students of engineering and the science who are interested in applications of differential equation.
Author: Nico M. Temme
Publisher: John Wiley & Sons
Published: 2011-03-01
Total Pages: 392
ISBN-13: 1118030818
DOWNLOAD EBOOKThis book gives an introduction to the classical, well-known special functions which play a role in mathematical physics, especially in boundary value problems. Calculus and complex function theory form the basis of the book and numerous formulas are given. Particular attention is given to asymptomatic and numerical aspects of special functions, with numerous references to recent literature provided.
Author: Milton Abramowitz
Publisher: Courier Corporation
Published: 1965-01-01
Total Pages: 1068
ISBN-13: 9780486612720
DOWNLOAD EBOOKAn extensive summary of mathematical functions that occur in physical and engineering problems
Author: George E. Andrews
Publisher: Cambridge University Press
Published: 1999
Total Pages: 684
ISBN-13: 9780521789882
DOWNLOAD EBOOKAn overview of special functions, focusing on the hypergeometric functions and the associated hypergeometric series.
Author: Árpád Baricz
Publisher: Springer Science & Business Media
Published: 2010-05-25
Total Pages: 225
ISBN-13: 3642122299
DOWNLOAD EBOOKThis 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.
