DLMF:18.17.E42 (Q5783): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:18.17.E42	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\pvint_{-1}^{1}T_{n}\left(y\right)\frac{(1-y^{2})^% {-\frac{1}{2}}}{y-x}\mathrm{d}y=\pi U_{n-1}\left(x\right),}}

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DLMF:18.17.E42

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Defining formula

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

C18.S3.T1.t1.r4.m2adec

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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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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2atdec

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Defining formula

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

C1.S4.SS4.m1aaodec

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