Synopses & Reviews
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.
Synopsis
This text provides undergraduates with a straightforward guide to special functions. Topics include the solution of 2nd-order differential equations in terms of power series; gamma and beta functions; Legendre polynomials and functions; Bessel functions; Hermite, Laguerre, and Chebyshev polynomials; more. Includes worked examples and problems with some hints and solutions. 1968 edition. 25 figures.
Synopsis
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.
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.