DLMF
Index
Notations
Search
Help?
Citing
Customize
Annotate
UnAnnotate
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
