Category:Beta Function of x with y+m+1
Jump to navigation
Jump to search
This category contains pages concerning Beta Function of x with y+m+1:
Let $\map \Beta {x, y}$ denote the Beta function.
Then:
- $\map \Beta {x, y} = \dfrac {\map {\Gamma_m} y m^x} {\map {\Gamma_m} {x + y} } \map \Beta {x, y + m + 1}$
where $\Gamma_m$ is the partial Gamma function:
| \(\ds \map {\Gamma_m} y\) | \(=\) | \(\ds \dfrac {m^y m!} {y \paren {y + 1} \paren {y + 2} \cdots \paren {y + m} }\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds \dfrac {m^y m!} { y^{\overline {m + 1} } }\) |
Pages in category "Beta Function of x with y+m+1"
The following 3 pages are in this category, out of 3 total.