Chapter 28 Mathieu Functions and Hill’s Equation
Fachbereich Mathematik, University Duisburg-Essen, Essen, Germany.
- Notation
- Mathieu Functions of Integer Order
- Mathieu Functions of Noninteger Order
-
Modified Mathieu Functions
- 28.20 Definitions and Basic Properties
- 28.21 Graphics
- 28.22 Connection Formulas
- 28.23 Expansions in Series of Bessel Functions
- 28.24 Expansions in Series of Cross-Products of Bessel Functions or Modified Bessel Functions
- 28.25 Asymptotic Expansions for Large
- 28.26 Asymptotic Approximations for Large
- 28.27 Addition Theorems
- 28.28 Integrals, Integral Representations, and Integral Equations
- Hill’s Equation
- Applications
- Computation