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19
Elliptic Integrals
Symmetric Integrals
19.17
Graphics
19.17
Graphics
19.18
Derivatives and Differential Equations
Figure 19.17.6
(See
in context
.)
Figure 19.17.6:
Cauchy principal value of
R
J
(
x
,
y
,
1
,
−
0.5
)
for
0
≤
x
≤
1
,
y
=
0
,
0.1
,
0.5
,
1
.
y
=
1
corresponds to
2
(
R
C
(
x
,
−
0.5
)
−
R
C
(
x
,
1
)
)
.
ⓘ
Annotations:
Symbols:
R
C
(
x
,
y
)
: Carlson’s combination of inverse circular and inverse hyperbolic functions
and
R
J
(
x
,
y
,
z
,
p
)
: symmetric elliptic integral of third kind
Permalink:
http://dlmf.nist.gov/19.17.F6.mag
Encodings:
Magnified png
,
pdf
See also:
Annotations for
§19.17
and
Ch.19
