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28
Mathieu Functions and Hill’s Equation
Mathieu Functions of Noninteger Order
28.13
Graphics
28.13
Graphics
28.14
Fourier Series
Figure 28.13.1
(See
in context
.)
Figure 28.13.1:
λ
ν
(
q
)
as a function of
q
for
ν
=
0.5
(
1
)
3.5
and
a
n
(
q
)
,
b
n
(
q
)
for
n
=
0
,
1
,
2
,
3
,
4
(
a
’s),
n
=
1
,
2
,
3
,
4
(
b
’s). (Compare Figure
28.2.1
.)
ⓘ
Annotations:
Symbols:
a
n
(
q
)
: eigenvalues of Mathieu equation
,
b
n
(
q
)
: eigenvalues of Mathieu equation
,
λ
ν
+
2
n
(
q
)
: eigenvalues of Mathieu equation
,
q
=
h
2
: parameter
,
n
: integer
,
ν
: complex parameter
and
a
: parameter
Permalink:
http://dlmf.nist.gov/28.13.F1.mag
Encodings:
Magnified png
,
pdf
See also:
Annotations for
§28.13
and
Ch.28
