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About the Project
19
Elliptic Integrals
Legendre’s Integrals
19.3
Graphics
19.3
Graphics
19.4
Derivatives and Differential Equations
Figure 19.3.2
(See
in context
.)
Figure 19.3.2:
R
C
(
x
,
1
)
and the Cauchy principal value of
R
C
(
x
,
−
1
)
for
0
≤
x
≤
5
. Both functions are asymptotic to
ln
(
4
x
)
/
4
x
as
x
→
∞
; see (
19.2.19
) and (
19.2.20
). Note that
R
C
(
x
,
±
y
)
=
y
−
1
/
2
R
C
(
x
/
y
,
±
1
)
,
y
>
0
.
ⓘ
Annotations:
Symbols:
R
C
(
x
,
y
)
: Carlson’s combination of inverse circular and inverse hyperbolic functions
and
ln
z
: principal branch of logarithm function
Permalink:
http://dlmf.nist.gov/19.3.F2.mag
Encodings:
Magnified png
,
pdf
See also:
Annotations for
§19.3
and
Ch.19