DLMF:18.6.E4

MaRDI QIDQ6264

• Label: DLMF:18.6.E4

Digital Library of Mathematical Functions ID 18.6.E4

${\displaystyle{\displaystyle\lim_{\lambda\to\infty}\frac{C^{(\lambda)}_{n}\left(x\right)}{C^{(\lambda)}_{n}\left(1\right)}=x^{n},}}$

Symbols List

• ${\displaystyle{\displaystyle C^{(\NVar{\lambda})}_{\NVar{n}}\left(\NVar{x}\right)}}$: ultraspherical (or Gegenbauer) polynomial
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle x}}$: real variable
 

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