DLMF:15.9.E6 (Q5096)

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Language	Label	Description	Also known as
English	DLMF:15.9.E6	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle U_{n}\left(x\right)=(n+1)F\left({-n,n+2\atop\frac% {3}{2}};\frac{1-x}{2}\right).}}

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DLMF:15.9.E6

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Defining formula

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

C18.S3.T1.t1.r5.m2adec

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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.m2aedec

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