Special Functions for Scientists and Engineers

by W. W. Bell

Overview

Clear and comprehensive, this text provides undergraduates with a straightforward guide to special functions. It is equally suitable as a reference volume for professionals, and readers need no higher level of mathematical knowledge beyond elementary calculus. Topics include the solution of second-order differential equations in terms of power series; gamma and beta functions; Legendre polynomials and functions; Bessel functions; Hermite, Laguerre, and Chebyshev polynomials; Gegenbauer and Jacobi polynomials; and hypergeometric and other special functions. Three appendices offer convenient tabulation of principal results, and a generous supply of worked examples and problems includes some hints and solutions. 1968 edition. 25 figures.

Product Details

ISBN-13:	9780486435213
Publisher:	Dover Publications
Publication date:	07/26/2004
Series:	Dover Books on Mathematics
Pages:	272
Product dimensions:	5.50(w) x 8.50(h) x (d)

Table of Contents

1. Series Solution of Differential Equations.
2. Gamma and Beta Functions.
3. Legendre Polynomials and Functions.
4. Bessel Functions.
5. Hermite Polynomials.
6. Laguerre Polynomials.
7. Chebyshev Polynomials.
8. Gegenbauer and Jacobi Polynomials.
9. Hypergeometric Functions.
10. Other Special Functions.
Appendices.
Hints and Solutions to the Problems.
Bibliography.
Index.