Chapter 13 Confluent Hypergeometric Functions
- Notation
-
Kummer Functions
- 13.2 Definitions and Basic Properties
- 13.3 Recurrence Relations and Derivatives
- 13.4 Integral Representations
- 13.5 Continued Fractions
- 13.6 Relations to Other Functions
- 13.7 Asymptotic Expansions for Large Argument
- 13.8 Asymptotic Approximations for Large Parameters
- 13.9 Zeros
- 13.10 Integrals
- 13.11 Series
- 13.12 Products
- 13.13 Addition and Multiplication Theorems
-
Whittaker Functions
- 13.14 Definitions and Basic Properties
- 13.15 Recurrence Relations and Derivatives
- 13.16 Integral Representations
- 13.17 Continued Fractions
- 13.18 Relations to Other Functions
- 13.19 Asymptotic Expansions for Large Argument
- 13.20 Uniform Asymptotic Approximations for Large
- 13.21 Uniform Asymptotic Approximations for Large
- 13.22 Zeros
- 13.23 Integrals
- 13.24 Series
- 13.25 Products
- 13.26 Addition and Multiplication Theorems
