Introduction to Bessel Functions

Author: Frank Bowman

Publisher: Courier Corporation

ISBN: 0486152995

Category: Mathematics

Page: 160

View: 6488


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.

Bessel and Related Functions

Author: Refaat El Attar


ISBN: 1430313935

Category: Education

Page: 84

View: 1814


This book is written to provide an easy to follow study on the subject of Bessel and Related Functions. It is also written in a way that it can be used as a self study text. Basic knowledge of calculus and differential equations is needed. The book is intended to help students in engineering, physics and applied sciences understand various aspects of Bessel Functions that very often occur in engineering, physics, mathematics and applied sciences.

Special Functions

An Introduction to the Classical Functions of Mathematical Physics

Author: Nico M. Temme

Publisher: John Wiley & Sons

ISBN: 1118030818

Category: Mathematics

Page: 392

View: 9294


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.

Bessel Functions and Their Applications

Author: B G Korenev

Publisher: CRC Press

ISBN: 9780203216927

Category: Mathematics

Page: 288

View: 6844


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

Vistas of Special Functions

Author: Shigeru Kanemitsu,Haruo Tsukada

Publisher: World Scientific

ISBN: 9789812708830

Category: Mathematics

Page: 228

View: 1393


This is a unique book for studying special functions through zeta-functions. Many important formulas of special functions scattered throughout the literature are located in their proper positions and readers get enlightened access to them in this book. The areas covered include: Bernoulli polynomials, the gamma function (the beta and the digamma function), the zeta-functions (the Hurwitz, the Lerch, and the Epstein zeta-function), Bessel functions, an introduction to Fourier analysis, finite Fourier series, Dirichlet L-functions, the rudiments of complex functions and summation formulas. The Fourier series for the (first) periodic Bernoulli polynomial is effectively used, familiarizing the reader with the relationship between special functions and zeta-functions.

Introduction to Structural Dynamics

Author: Bruce K. Donaldson

Publisher: Cambridge University Press

ISBN: 1139459082

Category: Technology & Engineering

Page: N.A

View: 9699


This textbook, first published in 2006, provides the student of aerospace, civil and mechanical engineering with all the fundamentals of linear structural dynamics analysis. It is designed for an advanced undergraduate or first-year graduate course. This textbook is a departure from the usual presentation in two important respects. First, descriptions of system dynamics are based on the simpler to use Lagrange equations. Second, no organizational distinctions are made between multi-degree of freedom systems and single-degree of freedom systems. The textbook is organized on the basis of first writing structural equation systems of motion, and then solving those equations mostly by means of a modal transformation. The text contains more material than is commonly taught in one semester so advanced topics are designated by an asterisk. The final two chapters can also be deferred for later studies. The text contains numerous examples and end-of-chapter exercises.

Introduction to Partial Differential Equations

From Fourier Series to Boundary-Value Problems

Author: Arne Broman

Publisher: Courier Corporation

ISBN: 0486153010

Category: Mathematics

Page: 192

View: 6931


The self-contained treatment covers Fourier series, orthogonal systems, Fourier and Laplace transforms, Bessel functions, and partial differential equations of the first and second orders. 266 exercises with solutions. 1970 edition.

Introduction to Differential Equations


Publisher: PHI Learning Pvt. Ltd.

ISBN: 8120336038

Category: Mathematics

Page: 292

View: 5421


This book provides students with solid knowledge of the basic principles of differential equations and a clear understanding of the various ways of obtaining their solutions by applying suitable methods. It is primarily intended to serve as a textbook for undergraduate students of mathematics. It will also be useful for undergraduate engineering students of all disciplines as part of their course in engineering mathematics. No book on differential equations is complete without a treatment of special functions and special equations. A chapter in this book has been devoted to the detailed study of special functions such as the gamma function, beta function, hypergeometric function, and Bessel function, as well as special equations such as the Legendre equation, Chebyshev equation, Hermite equation, and Laguerre equation. The general properties of various orthogonal polynomials such as Legendre, Chebyshev, Hermite, and Laguerre have also been covered. A large number of solved examples as well as exercises at the end of many chapter sections help to comprehend as well as to strengthen the grasp of the underlying concepts and principles of the subject. The answers to all the exercises are provided at the end of the book.