DLMF:5.13.E3 (Q2160)

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Language	Label	Description	Also known as
English	DLMF:5.13.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{1}{2\pi}\int_{-\infty}^{\infty}\Gamma\left(a% +it\right)\Gamma\left(b+it\right)\Gamma\left(c-it\right)\Gamma\left(d-it\right% )\mathrm{d}t=\frac{\Gamma\left(a+c\right)\Gamma\left(a+d\right)\Gamma\left(b+c% \right)\Gamma\left(b+d\right)}{\Gamma\left(a+b+c+d\right)},}}

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DLMF:5.13.E3

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{\displaystyle{\displaystyle\Re a,\Re b,\Re c,\Re d>0}}

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2abdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2abdec

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Defining formula

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

C1.S4.SS4.m1abdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3abdec

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Sitelinks

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