Difference between revisions of "Manuals/calci/GAMMAFUNCTION"
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| − | == | + | <div style="font-size:30px">'''GAMMAFUNCTION (z)'''</div><br/> |
| + | *<math>z</math> is any positive real number. | ||
| + | |||
| + | ==Description== | ||
| + | *This function gives the value of the Gamma function. | ||
| + | *The Gamma function is defined to be an extension of the factorial to complex and real number arguments. | ||
| + | *That is, if n is a positive integer: | ||
| + | <math>\Gamma (n)=(n-1)!</math> | ||
| + | *Gamma function is defined for all complex numbers except the non-positive integers. | ||
| + | *For complex numbers with a positive real part, it is defined via a convergent improper integral: | ||
Revision as of 14:49, 28 November 2016
GAMMAFUNCTION (z)
- is any positive real number.
is any positive real number.Description
- This function gives the value of the Gamma function.
- The Gamma function is defined to be an extension of the factorial to complex and real number arguments.
- That is, if n is a positive integer:
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Gamma (n)=(n-1)!}
- Gamma function is defined for all complex numbers except the non-positive integers.
- For complex numbers with a positive real part, it is defined via a convergent improper integral: