The convert/GAMMA function converts factorials, binomials and multinomial coefficients in an expression to the GAMMA function.

You can enter the command convert/GAMMA using either the 1-D or 2-D calling sequence. For example, convert(x!, GAMMA) is equivalent to $\mathrm{convert}\left(x!\,\mathrm{\Gamma }\right)$.

If an indeterminate or set of indeterminates is specified, then only factorials and binomials involving a specified indeterminate will be converted to the GAMMA function.

$\mathrm{convert}\left(x!\,\mathrm{\Gamma }\right)$

$\mathrm{\Gamma }\left(x+1\right)$

$\mathrm{convert}\left(\mathrm{binomial}\left(m\,3\right)\,\mathrm{\Gamma }\right)$

$\frac{\mathrm{\Gamma }\left(m+1\right)}{6\mathrm{\Gamma }\left(m-2\right)}$

$\mathrm{convert}\left(x!y!z!\,\mathrm{\Gamma }\,\left\{x\,y\right\}\right)$

$\mathrm{\Gamma }\left(x+1\right)\mathrm{\Gamma }\left(y+1\right)z!$

$\mathrm{convert}\left(\left(x+y\right)!\,\mathrm{\Gamma }\,\left\{x\,y\right\}\right)$

$\mathrm{\Gamma }\left(x+y+1\right)$