gammae function example
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The (complete) gamma function is defined to be an extension of the factorial to complex and real number arguments. It is related to the factorial by. (1) a slightly unfortunate notation due to Legendre which is now universally used instead of Gauss's simpler.
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For example, 5! = 1 × 2 × 3 × 4 × 5 = 120. But this formula is meaningless if n is not an integer. To extend the factorial to any real number x > 0 (whether or not x is a whole number), the gamma function is defined as Γ(x) = Integral on the interval [0, ∞ ] of ∫ 0∞t x −1 e−t dt
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