DLMF:14.18.E6 (Q4907)

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Language	Label	Description	Also known as
English	DLMF:14.18.E6	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle(x-y)\sum_{k=0}^{n}(2k+1)P_{k}\left(x\right)P_{k}% \left(y\right)=(n+1)\left(P_{n+1}\left(x\right)P_{n}\left(y\right)-P_{n}\left(% x\right)P_{n+1}\left(y\right)\right),}}

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DLMF:14.18.E6

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Defining formula

{\displaystyle{\displaystyle P_{\NVar{\nu}}\left(\NVar{z}\right)=P^{0}_{\nu}% \left(z\right)}}

C14.S2.SS2.p2.m3abdec

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Defining formula

{\displaystyle{\displaystyle n}}

C14.S1.XMD6.m1adec

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