DLMF:5.13.E4 (Q2161): Difference between revisions

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English	DLMF:5.13.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{-\infty}^{\infty}\frac{\mathrm{d}t}{\Gamma% \left(a+t\right)\Gamma\left(b+t\right)\Gamma\left(c-t\right)\Gamma\left(d-t% \right)}=\frac{\Gamma\left(a+b+c+d-3\right)}{\Gamma\left(a+c-1\right)\Gamma% \left(a+d-1\right)\Gamma\left(b+c-1\right)\Gamma\left(b+d-1\right)},}}

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DLMF:5.13.E4

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{\displaystyle{\displaystyle\Re(a+b+c+d)>3}}

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Defining formula

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

C5.S2.E1.m2acdec

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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\Re}}

C1.S9.E2.m1abdec

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