DLMF:14.3.E19 (Q4708)

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Language	Label	Description	Also known as
English	DLMF:14.3.E19	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\boldsymbol{Q}^{\mu}_{\nu}\left(x\right)=\frac{2^{% \nu}\Gamma\left(\nu+1\right)(x+1)^{\mu/2}}{(x-1)^{(\mu/2)+\nu+1}}\mathbf{F}% \left(\nu+1,\nu+\mu+1;2\nu+2;\frac{2}{1-x}\right),}}

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DLMF:14.3.E19

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Defining formula

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

C5.S2.E1.m2akdec

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Defining formula

{\displaystyle{\displaystyle\boldsymbol{Q}^{\NVar{\mu}}_{\NVar{\nu}}\left(% \NVar{z}\right)}}

C14.S21.SS1.p1.m3aadec

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$$={{}_{2}{\mathbf{F}}_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Olver’s hypergeometric function

Defining formula

{\displaystyle{\displaystyle\mathbf{F}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z% }\right)}}

C15.S2.E2.m2aodec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1rdec

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Defining formula

{\displaystyle{\displaystyle\mu}}

C14.S1.XMD7.m1ndec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C14.S1.XMD8.m1qdec

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Sitelinks

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