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28
Mathieu Functions and Hill’s Equation
Modified Mathieu Functions
28.20
Definitions and Basic Properties
28.22
Connection Formulas
§28.21
Graphics
ⓘ
Keywords:
graphics
,
modified Mathieu functions
Notes:
Figures
28.21.1
–
28.21.6
were produced at NIST.
Permalink:
http://dlmf.nist.gov/28.21
See also:
Annotations for
Ch.28
Radial Mathieu Functions: Surfaces
ⓘ
Keywords:
graphics
,
modified Mathieu functions
,
radial Mathieu functions
See also:
Annotations for
§28.21
and
Ch.28
Figure 28.21.1:
Mc
0
(
1
)
(
x
,
h
)
for
0
≤
h
≤
3
,
0
≤
x
≤
2
.
Magnify
3D
Help
ⓘ
Symbols:
Mc
n
(
j
)
(
z
,
h
)
: radial Mathieu function
,
h
: parameter
and
x
: real variable
Referenced by:
§28.21
Permalink:
http://dlmf.nist.gov/28.21.F1
Encodings:
Vizualization
,
pdf
,
png
See also:
Annotations for
§28.21
,
§28.21
and
Ch.28
Figure 28.21.2:
Mc
1
(
1
)
(
x
,
h
)
for
0
≤
h
≤
3
,
0
≤
x
≤
2
.
Magnify
3D
Help
ⓘ
Symbols:
Mc
n
(
j
)
(
z
,
h
)
: radial Mathieu function
,
h
: parameter
and
x
: real variable
Permalink:
http://dlmf.nist.gov/28.21.F2
Encodings:
Vizualization
,
pdf
,
png
See also:
Annotations for
§28.21
,
§28.21
and
Ch.28
Figure 28.21.3:
Mc
0
(
2
)
(
x
,
h
)
for
0.1
≤
h
≤
2
,
0
≤
x
≤
2
.
Magnify
3D
Help
ⓘ
Symbols:
Mc
n
(
j
)
(
z
,
h
)
: radial Mathieu function
,
h
: parameter
and
x
: real variable
Permalink:
http://dlmf.nist.gov/28.21.F3
Encodings:
Vizualization
,
pdf
,
png
See also:
Annotations for
§28.21
,
§28.21
and
Ch.28
Figure 28.21.4:
Mc
1
(
2
)
(
x
,
h
)
for
0.2
≤
h
≤
2
,
0
≤
x
≤
2
.
Magnify
3D
Help
ⓘ
Symbols:
Mc
n
(
j
)
(
z
,
h
)
: radial Mathieu function
,
h
: parameter
and
x
: real variable
Permalink:
http://dlmf.nist.gov/28.21.F4
Encodings:
Vizualization
,
pdf
,
png
See also:
Annotations for
§28.21
,
§28.21
and
Ch.28
Figure 28.21.5:
Ms
1
(
1
)
(
x
,
h
)
for
0
≤
h
≤
3
,
0
≤
x
≤
2
.
Magnify
3D
Help
ⓘ
Symbols:
Ms
n
(
j
)
(
z
,
h
)
: radial Mathieu function
,
h
: parameter
and
x
: real variable
Permalink:
http://dlmf.nist.gov/28.21.F5
Encodings:
Vizualization
,
pdf
,
png
See also:
Annotations for
§28.21
,
§28.21
and
Ch.28
Figure 28.21.6:
Ms
1
(
2
)
(
x
,
h
)
for
0.2
≤
h
≤
2
,
0
≤
x
≤
2
.
Magnify
3D
Help
ⓘ
Symbols:
Ms
n
(
j
)
(
z
,
h
)
: radial Mathieu function
,
h
: parameter
and
x
: real variable
Referenced by:
§28.21
Permalink:
http://dlmf.nist.gov/28.21.F6
Encodings:
Vizualization
,
pdf
,
png
See also:
Annotations for
§28.21
,
§28.21
and
Ch.28