PlanetMath (more info)
 Math for the people, by the people.
Encyclopedia | Requests | Forums | Docs | Wiki | Random | RSS  
Login
create new user
name:
pass:
forget your password?
Main Menu
Owner confidence rating: Very high Entry average rating: Very high
[parent] values of gamma function for small positive real values (Data Structure)

The following table lists values of $ \Gamma(x)$ for real $ 0 \leq x < 10$ in steps of $ \frac{1}{10}$. If the table is correct, it should confirm for a real nonnegative integer $ n$ the following equality: $ \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 $ n < x < (n + 1)$, the relation $ \Gamma(n) < \Gamma(x) < \Gamma(n + 1)$ always holds, but not when $ 0 < x < 2$.

$ x$ $ \Gamma(x)$ $ x$ $ \Gamma(x)$
0 $ \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



"values of gamma function for small positive real values" is owned by PrimeFan.
(view preamble)

View style:


This object's parent.
Log in to rate this entry.
(view current ratings)

Cross-references: relation, infinity, complex, equality, integer, real

This is version 2 of values of gamma function for small positive real values, born on 2008-02-15, modified 2008-02-16.
Object id is 10277, canonical name is ValuesOfGammaFunctionForSmallPositiveRealValues.
Accessed 160 times total.

Classification:
AMS MSC33B15 (Special functions :: Elementary classical functions :: Gamma, beta and polygamma functions)
 30D30 (Functions of a complex variable :: Entire and meromorphic functions, and related topics :: Meromorphic functions, general theory)

Pending Errata and Addenda
None.
[ View all 1 ]
Discussion
Style: Expand: Order:
forum policy

No messages.

Interact
post | correct | update request | add example | add (any)