DLMF:15.9.E7 (Q5097): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:15.9.E7	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle P_{n}\left(x\right)=F\left({-n,n+1\atop 1};\frac{% 1-x}{2}\right).}}

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DLMF:15.9.E7

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$$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Gauss’ hypergeometric function

Defining formula

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

C15.S2.E1.m2afdec

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Defining formula

{\displaystyle{\displaystyle P_{\NVar{n}}\left(\NVar{x}\right)}}

C18.S3.T1.t1.r10.m2adec

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Defining formula

{\displaystyle{\displaystyle x}}

C15.S1.XMD1.m1edec

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Defining formula

{\displaystyle{\displaystyle n}}

C15.S1.XMD10.m1fdec

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