DLMF:18.9.E16 (Q5612)

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Language	Label	Description	Also known as
English	DLMF:18.9.E16	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}x}\left((1-x)^{\alpha}% (1+x)^{\beta}P^{(\alpha,\beta)}_{n}\left(x\right)\right)=-2(n+1)(1-x)^{\alpha-% 1}(1+x)^{\beta-1}P^{(\alpha-1,\beta-1)}_{n+1}\left(x\right).}}

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DLMF:18.9.E16

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Defining formula

{\displaystyle{\displaystyle P^{(\NVar{\alpha},\NVar{\beta})}_{\NVar{n}}\left(% \NVar{x}\right)}}

C18.S3.T1.t1.r2.m2aedec

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derivative of $$f$$ with respect to $$x$$

Defining formula

{\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}

C1.S4.E4.m2aadec

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Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1pdec

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Defining formula

{\displaystyle{\displaystyle x}}

C18.S2.XMD3.m1odec

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