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Gammafunctiontable - GAMMA FUNCTION TABLE

GAMMA FUNCTION TABLE
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Appendix B: Table for Gamma Function (n) x 1 n 2. 0 n 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 n n n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Reliability Engineering, First Edition. Kailash C. Kapur. 2014 John Wiley Sons, Inc. Published 2014 John Wiley Sons, Inc. 453 Appendix B: Table for Gamma Function Some properties of the gamma function: (n 1) (n), n 0, and when n integer 0, we have (n 1)! The gamma function is related to the beta function, B(m,n), as follows: 1 B ( m, n) x ) dx 0 B ( m, n) B (n, m) 454 ( m) ( n) . ( m n)

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Gammafunctiontable - GAMMA FUNCTION TABLE

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453
Appendix B:
Gamma Function
Γn e x dx n
x n
( )
=
1
0
1 2, .
Reliability Engineering, First Edition. Kailash C. Kapur.
© 2014 John Wiley & Sons, Inc. Published 2014 by John Wiley & Sons, Inc.
Table for
nΓ(n)
1.00 1.00000
1.01 0.99433
1.02 0.98884
1.03 0.98355
1.04 0.97844
1.05 0.97350
1.06 0.96874
1.07 0.96415
1.08 0.95973
1.09 0.95546
1.10 0.95135
1.11 0.94739
1.12 0.94359
1.13 0.93993
1.14 0.93642
1.15 0.93304
1.16 0.92980
1.17 0.92670
1.18 0.92373
1.19 0.92088
1.20 0.91817
1.21 0.91558
1.22 0.91311
1.23 0.91075
1.24 0.90852
nΓ(n)
1.75 0.91906
1.76 0.92137
1.77 0.92376
1.78 0.92623
1.79 0.92877
1.80 0.93138
1.81 0.93408
1.82 0.93685
1.83 0.93969
1.84 0.94261
1.85 0.94561
1.86 0.94869
1.87 0.95184
1.88 0.95507
1.89 0.95838
1.90 0.96177
1.91 0.96523
1.92 0.96878
1.93 0.97240
1.94 0.97610
1.95 0.97988
1.96 0.98374
1.97 0.98768
1.98 0.99171
1.99 0.99581
2.00 1.00000
nΓ(n)
1.25 0.90640
1.26 0.90440
1.27 0.90250
1.28 0.90072
1.29 0.89904
1.30 0.89747
1.31 0.89600
1.32 0.89464
1.33 0.89338
1.34 0.89222
1.35 0.89115
1.36 0.89018
1.37 0.88931
1.38 0.88854
1.39 0.88785
1.40 0.88726
1.41 0.88676
1.42 0.88636
1.43 0.88604
1.44 0.88580
1.45 0.88565
1.46 0.88560
1.47 0.88563
1.48 0.88575
1.49 0.88595
nΓ(n)
1.50 0.88623
1.51 0.88659
1.52 0.88704
1.53 0.88757
1.54 0.88818
1.55 0.88887
1.56 0.88964
1.57 0.89049
1.58 0.89142
1.59 0.89243
1.60 0.89352
1.61 0.89468
1.62 0.89592
1.63 0.89724
1.64 0.89864
1.65 0.90012
1.66 0.90167
1.67 0.90330
1.68 0.90500
1.69 0.90678
1.70 0.90864
1.71 0.91057
1.72 0.91258
1.73 0.91466
1.74 0.91683