Formula:3357

Digital Library of Mathematical Functions ID 8.17.E18

${\displaystyle{\displaystyle I_{x}\left(a,b\right)=I_{x}\left(a+1,b-1\right)+\frac{x^{a}(x^{\prime})^{b-1}}{a\mathrm{B}\left(a,b\right)},}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{B}\left(\NVar{a},\NVar{b}\right)}}$: beta function
• ${\displaystyle{\displaystyle I_{\NVar{x}}\left(\NVar{a},\NVar{b}\right)}}$: incomplete beta function
• ${\displaystyle{\displaystyle a}}$: parameter
• ${\displaystyle{\displaystyle b}}$: parameter
• ${\displaystyle{\displaystyle x}}$: variable
• ${\displaystyle{\displaystyle x^{\prime}}}$: x ′
 

Resources that cite this formula

No records found.