Formula:6283

Digital Library of Mathematical Functions ID 18.7.E18

${\displaystyle{\displaystyle T_{2n+1}\left(x\right)=xW_{n}\left(2x^{2}-1\right).}}$

Symbols List

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

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