(Gamma Function) Let Î(n) = This integral converges by Problems 51 and 52. Show each of the...
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This integral converges by Problems 51 and 52. Show each of the following (note that the gamma function is defined for every positive real number n):
(a) Î(1) = 1
(b) Î (n + 1) = n Î(n)
(c) Î(n + 1) = n!, if n is a positive integer?
Transcribed Image Text:
x"-le dx,n>0.
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