DLMF:8.18.E14 (Q2682)

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Language	Label	Description	Also known as
English	DLMF:8.18.E14	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle I_{x}\left(a,b\right)\sim Q\left(b,a\zeta\right)-% \frac{(2\pi b)^{-1/2}}{\widetilde{\Gamma}(b)}\left(\frac{x}{x_{0}}\right)^{a}% \left(\frac{1-x}{1-x_{0}}\right)^{b}\sum_{k=0}^{\infty}\frac{h_{k}(\zeta,\mu)}% {a^{k}},}}

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DLMF:8.18.E14

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incomplete beta function

Defining formula

{\displaystyle{\displaystyle I_{\NVar{x}}\left(\NVar{a},\NVar{b}\right)}}

C8.S17.E2.m2acdec

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Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.SS3.p1.m11abdec

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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 Q\left(\NVar{a},\NVar{z}\right)}}

C8.S2.E4.m2aadec

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Defining formula

{\displaystyle{\displaystyle k}}

C8.S1.XMD5.m1edec

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Defining formula

{\displaystyle{\displaystyle a}}

C8.S17.XMD1.m1fdec

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Defining formula

{\displaystyle{\displaystyle b}}

C8.S17.XMD2.m1hdec

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Defining formula

{\displaystyle{\displaystyle x}}

C8.S17.XMD3.m1idec

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Sitelinks

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