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29
Lamé Functions
Lamé Polynomials
29.13
Graphics
29.13
Graphics
29.14
Orthogonality
Figure 29.13.21
(See
in context
.)
Figure 29.13.21:
|
𝑢𝐸
4
1
(
x
+
i
y
,
0.1
)
|
for
−
3
K
≤
x
≤
3
K
,
0
≤
y
≤
2
K
′
.
K
=
1.61244
…
,
K
′
=
2.57809
…
.
ⓘ
Annotations:
Symbols:
𝑢𝐸
2
n
m
(
z
,
k
2
)
: Lamé polynomial
,
K
′
(
k
)
: Legendre’s complementary complete elliptic integral of the first kind
,
K
(
k
)
: Legendre’s complete elliptic integral of the first kind
,
i
: imaginary unit
,
x
: real variable
,
y
: real variable
and
k
: real parameter
Permalink:
http://dlmf.nist.gov/29.13.F21.viz
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