Difference between revisions of "DLMF:3.11.E8 (Q1449)"

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Latest revision as of 15:58, 1 January 2020

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Language	Label	Description	Also known as
English	DLMF:3.11.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{-1}^{1}\frac{T_{j}\left(x\right)T_{k}\left(x% \right)}{\sqrt{1-x^{2}}}\mathrm{d}x=\begin{cases}\pi,&j=k=0,\\ \frac{1}{2}\pi,&j=k\neq 0,\\ 0,&j\neq k,\end{cases}}}

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DLMF:3.11.E8

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Defining formula

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

C18.S3.T1.t1.r4.m2abdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

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Defining formula

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

C1.S4.SS4.m1adec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3adec

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