DLMF:18.7.E5

MaRDI QIDQ6270

• Label: DLMF:18.7.E5

Digital Library of Mathematical Functions ID 18.7.E5

${\displaystyle{\displaystyle V_{n}\left(x\right)=\ifrac{(2n+1)P^{(\frac{1}{2},-\frac{1}{2})}_{n}\left(x\right)}{P^{(\frac{1}{2},-\frac{1}{2})}_{n}\left(1\right)},}}$

Symbols List

• ${\displaystyle{\displaystyle V_{\NVar{n}}\left(\NVar{x}\right)}}$: Chebyshev polynomial of the third kind
• ${\displaystyle{\displaystyle P^{(\NVar{\alpha},\NVar{\beta})}_{\NVar{n}}\left(\NVar{x}\right)}}$: Jacobi polynomial
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle x}}$: real variable
 

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