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28
Mathieu Functions and Hill’s Equation
Mathieu Functions of Integer Order
28.2
Definitions and Basic Properties
28.2
Definitions and Basic Properties
28.3
Graphics
Figure 28.2.1
(See
in context
.)
Figure 28.2.1:
Eigenvalues
a
n
(
q
)
,
b
n
(
q
)
of Mathieu’s equation as functions of
q
for
0
≤
q
≤
10
,
n
=
0
,
1
,
2
,
3
,
4
(
a
’s),
n
=
1
,
2
,
3
,
4
(
b
’s).
ⓘ
Annotations:
Symbols:
a
n
(
q
)
: eigenvalues of Mathieu equation
,
b
n
(
q
)
: eigenvalues of Mathieu equation
,
q
=
h
2
: parameter
,
n
: integer
and
a
: parameter
A&S Ref:
20.1
(Figure)
Permalink:
http://dlmf.nist.gov/28.2.F1.mag
Encodings:
Magnified png
,
pdf
See also:
Annotations for
§28.2
and
Ch.28
