Difference between revisions of "Book:Ian N. Sneddon/Special Functions of Mathematical Physics and Chemistry"
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=== Contents === | === Contents === | ||
| − | + | :{{SmallCaps|Preface}} | |
| − | : {{SmallCaps|Preface}} | ||
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: Chapter I: Introduction | : 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 | : 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 III: Legendre Functions | ||
| − | |||
: Chapter IV: Bessel Functions | : Chapter IV: Bessel Functions | ||
| − | |||
: Chapter V: The Functions of Hermite and Laguerre | : Chapter V: The Functions of Hermite and Laguerre | ||
| − | |||
: Appendix: The Dirac Delta Function | : Appendix: The Dirac Delta Function | ||
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: Index | : Index | ||
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[[Category:Books]] | [[Category:Books]] | ||
Revision as of 05:12, 6 June 2016
Ian N. Sneddon: Special Functions of Mathematical Physics and Chemistry
Published $1956$, Oliver and Boyd.
Online copies
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
