Asymptotics and Special Functions
by Olver, Frank W. J.Format: Hardcover
Pub. Date: 1974-06-01
Publisher(s): Academic Pr
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Summary
A classic reference, intended for graduate students mathematicians, physicists, and engineers, this book can be used both as the basis for instructional courses and as a reference tool.
Table of Contents
| Preface to A. K. Peters Edition | |
| Preface | |
| Introduction to Asymptotic Analysis | |
| Introduction to Special Functions | |
| Integrals of a Real Variable | |
| Contour Integrals | |
| Differential Equations with Regular Singularities; Hypergeometric and Legendre Functions | |
| The Liouville-Green Approximation | |
| Differential Equations with Irregular Singularities; Bessel and Confluent Hypergeometric Functions | |
| Sums and Sequences | |
| Integrals: Further Methods | |
| Differential Equations with a Parameter: Expansions in Elementary Functions | |
| Differential Equations with a Parameter: Turning Points | |
| Differential Equations with a Parameter: Simple Poles and Other Transition Points | |
| Connection Formulas for Solution of Differential Equations | |
| Estimation of Remainder Terms | |
| Answers to Exercises | |
| References | |
| Index of Symbols | |
| General Index | |
| Table of Contents provided by Blackwell. All Rights Reserved. |
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