values of gamma function for small positive real values

The following table lists values of $\mathrm{\Gamma }(x)$ for real in steps of $\frac{1}{10}$. If the table is correct, it should confirm for a real nonnegative integer $n$ the following equality: $\mathrm{\Gamma }(n)=(n-1)!$, with the notable exception of $n=0$, for which the value is complex infinity. Generally speaking, for values of $x$ in the relation , the relation always holds, but not when .

$x$	$\mathrm{\Gamma }(x)$	$x$	$\mathrm{\Gamma }(x)$
0	$\mathrm{\infty }$	5	24
0.1	9.51351	5.1	27.9318
0.2	4.59084	5.2	32.5781
0.3	2.99157	5.3	38.078
0.4	2.21816	5.4	44.5988
0.5	1.77245	5.5	52.3428
0.6	1.48919	5.6	61.5539
0.7	1.29806	5.7	72.5276
0.8	1.16423	5.8	85.6217
0.9	1.06863	5.9	101.27
1	1	6	120
1.1	0.951351	6.1	142.452
1.2	0.918169	6.2	169.406
1.3	0.897471	6.3	201.813
1.4	0.887264	6.4	240.834
1.5	0.886227	6.5	287.885
1.6	0.893515	6.6	344.702
1.7	0.908639	6.7	413.408
1.8	0.931384	6.8	496.606
1.9	0.961766	6.9	597.494
2	1	7	720
2.1	1.04649	7.1	868.957
2.2	1.1018	7.2	1050.32
2.3	1.16671	7.3	1271.42
2.4	1.24217	7.4	1541.34
2.5	1.32934	7.5	1871.25
2.6	1.42962	7.6	2275.03
2.7	1.54469	7.7	2769.83
2.8	1.67649	7.8	3376.92
2.9	1.82736	7.9	4122.71
3	2	8	5040
3.1	2.19762	8.1	6169.59
3.2	2.42397	8.2	7562.29
3.3	2.68344	8.3	9281.39
3.4	2.98121	8.4	11405.9
3.5	3.32335	8.5	14034.4
3.6	3.71702	8.6	17290.2
3.7	4.17065	8.7	21327.7
3.8	4.69417	8.8	26340
3.9	5.29933	8.9	32569.4
4	6	9	40320
4.1	6.81262	9.1	49973.7
4.2	7.75669	9.2	62010.8
4.3	8.85534	9.3	77035.6
4.4	10.1361	9.4	95809.5
4.5	11.6317	9.5	119292
4.6	13.3813	9.6	148696
4.7	15.4314	9.7	185551
4.8	17.8379	9.8	231792
4.9	20.6674	9.9	289868

Title	values of gamma function for small positive real values
Canonical name	ValuesOfGammaFunctionForSmallPositiveRealValues
Date of creation	2013-03-22 17:48:50
Last modified on	2013-03-22 17:48:50
Owner	PrimeFan (13766)
Last modified by	PrimeFan (13766)
Numerical id	5
Author	PrimeFan (13766)
Entry type	Data Structure
Classification	msc 30D30
Classification	msc 33B15