Which of the following is not a definition of Gamma function?

• A. \(\Gamma(n) = n!\)
• B. \(\Gamma(n) = \int_{0}^{\infty} x^{n-1} e^{-x}dx\)
• C. \(\Gamma(n+1) = n\Gamma(n)\)
• D. \(\Gamma(n) = \int_{0}^{1} log \left({1 \atop y}\right)^{n-1}\)