DLMF:19.23.E8 (Q6479)

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No description defined

Language	Label	Description	Also known as
English	DLMF:19.23.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle R_{-a}\left(\mathbf{b};\mathbf{z}\right)=\frac{2}% {\mathrm{B}\left(b_{1},b_{2}\right)}\int_{0}^{\pi/2}{(z_{1}{\cos^{2}}\theta+z_% {2}{\sin^{2}}\theta)}^{-a}\*(\cos\theta)^{2b_{1}-1}(\sin\theta)^{2b_{2}-1}% \mathrm{d}\theta,}}

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DLMF:19.23.E8

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{\displaystyle{\displaystyle\Re z_{1},\Re z_{2}>0}}

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{\displaystyle{\displaystyle b_{1},b_{2}>0}}

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{\displaystyle{\displaystyle\Re z_{1},\Re z_{2}>0}}

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multivariate hypergeometric function

Defining formula

{\displaystyle{\displaystyle R_{\NVar{-a}}\left(\NVar{b_{1}},\dots,\NVar{b_{n}% };\NVar{z_{1}},\dots,\NVar{z_{n}}\right)}}

C19.S16.E9.m2adec

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Defining formula

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

C5.S12.E1.m2adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2afdec

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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2afdec

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Defining formula

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

C1.S4.SS4.m1agdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3agdec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1aadec

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Defining formula

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2aedec

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Sitelinks

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