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Chapter 29
Lamé Functions
Notes:
The main references used in writing this chapter are
Arscott (
1964b
)
,
Erdélyi
et al.
(
1955
)
,
Ince (
1940b
)
, and
Jansen (
1977
)
. For additional bibliographic reading see
Hobson (
1931
)
,
Strutt (
1932
)
, and
Whittaker and Watson (
1927
)
.
Referenced by:
Hans Volkmer
,
Organization and Objective
Permalink:
http://dlmf.nist.gov/29
H. Volkmer
Department of Mathematical Sciences, University of Wisconsin–Milwaukee, Milwaukee, Wisconsin.
Notation
29.1
Special Notation
Lamé Functions
29.2
Differential Equations
29.3
Definitions and Basic Properties
29.4
Graphics
29.5
Special Cases and Limiting Forms
29.6
Fourier Series
29.7
Asymptotic Expansions
29.8
Integral Equations
29.9
Stability
29.10
Lamé Functions with Imaginary Periods
29.11
Lamé Wave Equation
Lamé Polynomials
29.12
Definitions
29.13
Graphics
29.14
Orthogonality
29.15
Fourier Series and Chebyshev Series
29.16
Asymptotic Expansions
29.17
Other Solutions
Applications
29.18
Mathematical Applications
29.19
Physical Applications
Computation
29.20
Methods of Computation
29.21
Tables
29.22
Software