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13
Confluent Hypergeometric Functions
Kummer Functions
13.7
Asymptotic Expansions for Large Argument
13.7
Asymptotic Expansions for Large Argument
13.8
Asymptotic Approximations for Large Parameters
Figure 13.7.1
(See
in context
.)
Figure 13.7.1:
Regions
R
1
,
R
2
,
R
¯
2
,
R
3
, and
R
¯
3
are the closures of the indicated unshaded regions bounded by the straight lines and circular arcs centered at the origin, with
r
=
|
b
−
2
a
|
.
ⓘ
Annotations:
Symbols:
U
(
a
,
b
,
z
)
: Kummer confluent hypergeometric function
and
z
¯
: complex conjugate
Permalink:
http://dlmf.nist.gov/13.7.F1.mag
Encodings:
Magnified png
,
pdf
See also:
Annotations for
§13.7
and
Ch.13