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15
Hypergeometric Function
Properties
15.3
Graphics
15.3
Graphics
15.4
Special Cases
Figure 15.3.6
(See
in context
.)
Figure 15.3.6:
F
(
−
3
,
3
5
;
u
+
i
v
;
1
2
)
,
−
6
≤
u
≤
2
,
−
2
≤
v
≤
2
. (With
c
=
u
+
i
v
the only poles occur at
c
=
0
,
−
1
,
−
2
; compare §
15.2(ii)
.)
ⓘ
Annotations:
Symbols:
F
(
a
,
b
;
c
;
z
)
or
F
(
a
,
b
c
;
z
)
:
=
F
1
2
(
a
,
b
;
c
;
z
)
Gauss’ hypergeometric function
,
i
: imaginary unit
and
c
: real or complex parameter
Permalink:
http://dlmf.nist.gov/15.3.F6.viz
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