Asymptotics and special functions
著者
書誌事項
Asymptotics and special functions
(AKP classics)
A.K. Peters, c1997
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注記
Originally published: New York : Academic Press, 1974
Includes bibliographical references (p. 548-560) and indexes
Reprinted in 2010 by: Boca Raton : CRC Press
内容説明・目次
内容説明
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.
目次
- Preface to A K Peters Edition, Preface, 1 Introduction to Asymptotic Analysis, 2 Introduction to Special Functions, 3 Integrals of a Real Variable, 4 Contour Integrals, 5 Differential Equations with Regular Singularities
- Hypergeometric and Legendre Functions, 6 Tbe Liouville-Green Approximation, 7 Differential Equations with Irregular Singularities
- Bessel and Confluent Hypergeometric Functions, 8 Sums and Sequences, 9 Integrals: Further Methods, 10 Differential Equations with a Parameter: Expansions in Elementary Functions, 11 Differential Equations with a Parameter: Turning Points, 12 Differential Equations with a Parameter: Simple Poles and Other Transition Points, 13 Connection Formulas for Solutions of Differential Equations, 14 Estimation of Remainder Terms, Answers to Exercises, References, Index of Symbols, General Index
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