DLMF:14.3.E1 (Q4690)

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Language	Label	Description	Also known as
English	DLMF:14.3.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathsf{P}^{\mu}_{\nu}\left(x\right)=\left(\frac{1% +x}{1-x}\right)^{\mu/2}\mathbf{F}\left(\nu+1,-\nu;1-\mu;\tfrac{1}{2}-\tfrac{1}% {2}x\right).}}

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DLMF:14.3.E1

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Symbols defined

Ferrers function of the first kind

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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.m2adec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1dec

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Defining formula

{\displaystyle{\displaystyle\mu}}

C14.S1.XMD7.m1dec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C14.S1.XMD8.m1dec

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Sitelinks

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