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

Revision as of 17:58, 1 January 2020

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

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

C18.S3.T1.t1.r4.m2abdec

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@@ Property / Symbols used @@
+Q11207
@@ Property / Symbols used: Q11207 / rank @@
+Normal rank
@@ Property / Symbols used: Q11207 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle T_{\NVar{n}}\left(\NVar{x}\right)}}$ 
\ChebyshevpolyT{\NVar{n}}@{\NVar{x}}
@@ Property / Symbols used: Q11207 / qualifier @@
+xml-id: C18.S3.T1.t1.r4.m2abdec