Manuals/calci/GAMMAFUNCTION

GAMMAFUNCTION (z)

• $z$ 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:

$\Gamma (n)=(n-1)!$

• 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:

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

• This function will return the result as NaN when the given number as negative or Non numeric.

Examples

1. GAMMAFUNCTION(2) = 1.0000026676984093
2. GAMMAFUNCTION(45.3) = 8.308990531109891e+54
3. GAMMAFUNCTION(-3) = NaN

See Also

• GAMMADIST
• SUM

References

• Gamma Function
• List of Main Z Functions

• Z3 home