DLMF:18.14.E4

MaRDI QIDQ6364

• Label: DLMF:18.14.E4

Digital Library of Mathematical Functions ID 18.14.E4

${\displaystyle{\displaystyle|C^{(\lambda)}_{n}\left(x\right)|\leq C^{(\lambda)}_{n}\left(1\right)=\frac{{\left(2\lambda\right)_{n}}}{n!},}}$

Constraint(s)

${\displaystyle{\displaystyle\lambda>0}}$

Symbols List

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

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