Author : Frank Bowman
Publisher : Courier Corporation
Page : 148 pages
File Size : 26,84 MB
Release : 2012-04-27
Category : Mathematics
ISBN : 0486152995
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.
Author : Frank Bowman
Publisher : Courier Corporation
Page : 148 pages
File Size : 12,20 MB
Release : 1958-01-01
Category : Mathematics
ISBN : 0486604624
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.
Author : B G Korenev
Publisher : CRC Press
Page : 290 pages
File Size : 34,4 MB
Release : 2002-07-25
Category : Mathematics
ISBN : 9780203216927
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
Author : George N. Watson
Publisher :
Page : 822 pages
File Size : 23,92 MB
Release : 1922
Category : Bessel functions
ISBN :
Author : Árpád Baricz
Publisher : Springer
Page : 218 pages
File Size : 45,69 MB
Release : 2018-03-24
Category : Mathematics
ISBN : 3319743503
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.
Author : Albert L. Rabenstein
Publisher : Academic Press
Page : 444 pages
File Size : 20,20 MB
Release : 2014-05-12
Category : Mathematics
ISBN : 1483226220
Introduction 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 : Milton Abramowitz
Publisher : Courier Corporation
Page : 1068 pages
File Size : 25,16 MB
Release : 1965-01-01
Category : Mathematics
ISBN : 9780486612720
An extensive summary of mathematical functions that occur in physical and engineering problems
Author : Nico M. Temme
Publisher : John Wiley & Sons
Page : 392 pages
File Size : 36,99 MB
Release : 2011-03-01
Category : Mathematics
ISBN : 1118030818
This 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 : Lucile LeeOlene Rorex
Publisher :
Page : 72 pages
File Size : 46,95 MB
Release : 1931
Category : Bessel functions
ISBN :
Author : F. M. Arscott
Publisher : Elsevier
Page : 295 pages
File Size : 44,31 MB
Release : 2014-05-16
Category : Mathematics
ISBN : 1483164888
Periodic Differential Equations: An Introduction to Mathieu, Lamé, and Allied Functions covers the fundamental problems and techniques of solution of periodic differential equations. This book is composed of 10 chapters that present important equations and the special functions they generate, ranging from Mathieu's equation to the intractable ellipsoidal wave equation. This book starts with a survey of the main problems related to the formation of periodic differential equations. The subsequent chapters deal with the general theory of Mathieu's equation, Mathieu functions of integral order, and the principles of asymptotic expansions. These topics are followed by discussions of the stable and unstable solutions of Mathieu's general equation; general properties and characteristic exponent of Hill's equation; and the general nature and solutions of the spheroidal wave equation. The concluding chapters explore the polynomials, orthogonality properties, and integral relations of Lamé's equation. These chapters also describe the wave functions and solutions of the ellipsoidal wave equation. This book will prove useful to pure and applied mathematicians and functional analysis.
