Chapter 14 Legendre and Related Functions
Department of Mathematics and Statistics,
San Diego State University,
San Diego, California.
- Notation
-
Real Arguments
- 14.2 Differential Equations
- 14.3 Definitions and Hypergeometric Representations
- 14.4 Graphics
- 14.5 Special Values
- 14.6 Integer Order
- 14.7 Integer Degree and Order
- 14.8 Behavior at Singularities
- 14.9 Connection Formulas
- 14.10 Recurrence Relations and Derivatives
- 14.11 Derivatives with Respect to Degree or Order
- 14.12 Integral Representations
- 14.13 Trigonometric Expansions
- 14.14 Continued Fractions
- 14.15 Uniform Asymptotic Approximations
- 14.16 Zeros
- 14.17 Integrals
- 14.18 Sums
- 14.19 Toroidal (or Ring) Functions
- 14.20 Conical (or Mehler) Functions
- Complex Arguments
- Applications
- Computation