Book:Ian N. Sneddon/Special Functions of Mathematical Physics and Chemistry

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Ian N. Sneddon: Special Functions of Mathematical Physics and Chemistry

Published $1956$, Oliver and Boyd.


Online copies

hosted by archive.org

Contents

Preface
Chapter I: Introduction
1. The origin of special functions
2. Ordinary points of a linear differential equation
3. Regular singular points
4. The point at infinity
5. The gamma function and related functions
Chapter II: Hypergeometric Functions
6. The hypergeometric series
7. The integral formula for the hypergeometric series
8. The hypergeometric equation
9. Linear relations between the solutions of the hypergeometric equation
10. Relations of contiguity
11. The confluent hypergeometric function
12. Generalised hypergeometric series
Chapter III: Legendre Functions
Chapter IV: Bessel Functions
Chapter V: The Functions of Hermite and Laguerre
Appendix: The Dirac Delta Function
Index
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