DLMF:5.14.E7 (Q2169): Difference between revisions

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No description defined

Language	Label	Description	Also known as
English	DLMF:5.14.E7	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{1}{(2\pi)^{n}}\int_{[-\pi,\pi]^{n}}\prod_{1% \leq j<k\leq n}|e^{i\theta_{j}}-e^{i\theta_{k}}|^{2b}\mathrm{d}\theta_{1}% \cdots\mathrm{d}\theta_{n}=\frac{\Gamma\left(1+bn\right)}{(\Gamma\left(1+b% \right))^{n}},}}

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DLMF:5.14.E7

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{\displaystyle{\displaystyle\Re b>-1/n}}

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Defining formula

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

C5.S2.E1.m2aedec

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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[\NVar{a},\NVar{b}]}}

introduction.Sx4.p1.t1.r30.m6aadec

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Defining formula

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

C1.S4.SS4.m1aedec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2aadec

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Defining formula

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

C1.S9.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aedec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1aadec

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Defining formula

{\displaystyle{\displaystyle j}}

C5.S1.XMD1.m1adec

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Defining formula

{\displaystyle{\displaystyle n}}

C5.S1.XMD3.m1fdec

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Defining formula

{\displaystyle{\displaystyle k}}

C5.S1.XMD4.m1edec

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Sitelinks

Wikipedia(0 entries)

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