- #1

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[tex]\Gamma[/tex] (z) = [tex]\frac{1}{z}[/tex] [tex]\prod[/tex] [tex]\frac{(1+ \frac{1}{n})^{z}}{1+ \frac{z}{n}}[/tex]

Do you think it's accurate? I have some doubts because I have looked for it on wokipedia, and I couldn't find it.

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- Thread starter math8
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- #1

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[tex]\Gamma[/tex] (z) = [tex]\frac{1}{z}[/tex] [tex]\prod[/tex] [tex]\frac{(1+ \frac{1}{n})^{z}}{1+ \frac{z}{n}}[/tex]

Do you think it's accurate? I have some doubts because I have looked for it on wokipedia, and I couldn't find it.

- #2

gabbagabbahey

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Do you mean

[tex]\Gamma(z)=\frac{1}{z}\prod_{n=1}^{\infty} \frac{\left(1+\frac{1}{n}\right)^z}{1+\frac{z}{n}}[/tex]

If so, then yes, it's correct for all complex numbers [itex]z[/itex] except for zero and negative integers.

[tex]\Gamma(z)=\frac{1}{z}\prod_{n=1}^{\infty} \frac{\left(1+\frac{1}{n}\right)^z}{1+\frac{z}{n}}[/tex]

If so, then yes, it's correct for all complex numbers [itex]z[/itex] except for zero and negative integers.

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Thanks a lot :)

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