DLMF:18.14.E7

MaRDI QIDQ6367

• Label: DLMF:18.14.E7

Digital Library of Mathematical Functions ID 18.14.E7

${\displaystyle{\displaystyle{(n+\lambda)^{1-\lambda}(1-x^{2})^{\frac{1}{2}\lambda}|C^{(\lambda)}_{n}\left(x\right)|<\frac{2^{1-\lambda}}{\Gamma\left(\lambda\right)}},}}$

Constraint(s)

${\displaystyle{\displaystyle 0<\lambda<1}}$

Symbols List

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

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