DLMF:5.12.E4 (Q2149): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:5.12.E4	No description defined

Statements

Defining formula

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

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DLMF:5.12.E4

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{\displaystyle{\displaystyle|\operatorname{ph}z|<\pi}}

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Defining formula

{\displaystyle{\displaystyle\mathrm{B}\left(\NVar{a},\NVar{b}\right)}}

C5.S12.E1.m2acdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aadec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1acdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3acdec

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Defining formula

{\displaystyle{\displaystyle\operatorname{ph}}}

C1.S9.E7.m1adec

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Defining formula

{\displaystyle{\displaystyle z}}

C5.S1.XMD7.m1dec

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