Formula:6518

Digital Library of Mathematical Functions ID 18.18.E31

${\displaystyle{\displaystyle\sum_{\ell=0}^{n}T_{\ell}\left(x\right)x^{n-\ell}=U_{n}\left(x\right).}}$

Symbols List

• ${\displaystyle{\displaystyle T_{\NVar{n}}\left(\NVar{x}\right)}}$: Chebyshev polynomial of the first kind
• ${\displaystyle{\displaystyle U_{\NVar{n}}\left(\NVar{x}\right)}}$: Chebyshev polynomial of the second kind
• ${\displaystyle{\displaystyle\ell}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle x}}$: real variable
 

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