Continued Fractions
For
ℜ
z
>
0
,
ln
Γ
(
z
)
+
z
-
(
z
-
1
2
)
ln
z
-
1
2
ln
(
2
π
)
=
a
0
+
z
+
a
1
+
z
+
a
2
+
z
+
a
3
+
z
+
a
4
+
z
+
a
5
z
+
⋯
a
0
=
1
12
,
a
1
=
1
30
,
a
2
=
53
210
,
a
3
=
195
371
,
a
4
=
22999
22737
,
a
5
=
299 44523
197 33142
,
a
6
=
10 95352 41009
4 82642 75462
For rational values of
a
7
to
a
11
and 40S values of
a
0
to
a
40
, see
Char(1980)
. Also see
Jones and Thron(1980)
(pp. 348–350) and
Lorentzen and Waadeland(1992)
(pp. 221–224) for further information.
