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28
Mathieu Functions and Hill’s Equation
Mathieu Functions of Integer Order
28.5
Second Solutions
fe
n
,
ge
n
28.5
Second Solutions
fe
n
,
ge
n
28.6
Expansions for Small
q
Figure 28.5.5
(See
in context
.)
Figure 28.5.5:
ge
1
(
x
,
0.5
)
for
0
≤
x
≤
2
π
and (for comparison)
se
1
(
x
,
0.5
)
.
ⓘ
Annotations:
Symbols:
ge
n
(
z
,
q
)
: second solution, Mathieu’s equation
,
se
n
(
z
,
q
)
: Mathieu function
,
π
: the ratio of the circumference of a circle to its diameter
and
x
: real variable
Permalink:
http://dlmf.nist.gov/28.5.F5.mag
Encodings:
Magnified png
,
pdf
See also:
Annotations for
§28.5
and
Ch.28