DLMF:18.9.E22 (Q5618)

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Language	Label	Description	Also known as
English	DLMF:18.9.E22	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}x}\left((1-x^{2})^{% \frac{1}{2}}U_{n}\left(x\right)\right)=-(n+1){(1-x^{2})^{-\frac{1}{2}}}T_{n+1}% \left(x\right).}}

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DLMF:18.9.E22

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Defining formula

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

C18.S3.T1.t1.r4.m2afdec

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Defining formula

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

C18.S3.T1.t1.r5.m2addec

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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.m2agdec

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Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1vdec

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Defining formula

{\displaystyle{\displaystyle x}}

C18.S2.XMD3.m1udec

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