2017년 6월 19일 (월) 06:45에 Admin님의 편집

2017-06-19T06:45:47Z

Admin: 새 문서: \( \Gamma (n)=(n-1)! \) where \(n\) is a positive integer. \(\displaystyle \Gamma (z)=\int _{0}^{\infty }x^{z-1}e^{-x}\,dx\) for complex numbers with a positive real part. \(\disp...

2017-06-19T05:46:37Z

새 문서: \( \Gamma (n)=(n-1)! \) where \(n\) is a positive integer. \(\displaystyle \Gamma (z)=\int _{0}^{\infty }x^{z-1}e^{-x}\,dx\) for complex numbers with a positive real part. \(\disp...

새 문서

\( \Gamma (n)=(n-1)! \) where \(n\) is a positive integer.

\(\displaystyle \Gamma (z)=\int _{0}^{\infty }x^{z-1}e^{-x}\,dx\) for complex numbers with a positive real part.

\(\displaystyle \Gamma (z+1)=\int _{0}^{\infty }x^{z}e^{-x}\,dx\)

\(\displaystyle =\left[-x^{z}e^{-x}\right]_{0}^{\infty }+\int _{0}^{\infty }zx^{z-1}e^{-x}\,dx\)

\(\displaystyle =\lim _{x\to \infty }(-x^{z}e^{-x})-(0e^{-0})+z\int _{0}^{\infty }x^{z-1}e^{-x}\,dx\)

Recognizing that as
\(\displaystyle x\to \infty ,-x^{z}e^{-x}\to 0,\)

\(\displaystyle =z\int _{0}^{\infty }x^{z-1}e^{-x}\,dx=z\Gamma (z)\)

← 이전 판		2017년 6월 19일 (월) 06:45 판
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		+	역시 위키[https://en.wikipedia.org/wiki/Gamma_function]는 훌륭하다.
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	\( \Gamma (n)=(n-1)! \) where \(n\) is a positive integer.		\( \Gamma (n)=(n-1)! \) where \(n\) is a positive integer.

Gamma function - 편집 역사

2017년 6월 19일 (월) 06:45에 Admin님의 편집

Admin: 새 문서: \( \Gamma (n)=(n-1)! \) where \(n\) is a positive integer. \(\displaystyle \Gamma (z)=\int _{0}^{\infty }x^{z-1}e^{-x}\,dx\) for complex numbers with a positive real part. \(\disp...