Formula:3360

Digital Library of Mathematical Functions ID 8.17.E21

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

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 ′
 

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