DLMF:5.12.E3

MaRDI QIDQ2846

• Label: DLMF:5.12.E3

Digital Library of Mathematical Functions ID 5.12.E3

${\displaystyle{\displaystyle\int_{0}^{\infty}\frac{t^{a-1}\mathrm{d}t}{(1+t)^{a+b}}=\mathrm{B}\left(a,b\right).}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{B}\left(\NVar{a},\NVar{b}\right)}}$: beta function
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle a}}$: real or complex variable
• ${\displaystyle{\displaystyle b}}$: real or complex variable
 

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