Formula:6365

Digital Library of Mathematical Functions ID 18.14.E5

${\displaystyle{\displaystyle|C^{(\lambda)}_{2m}\left(x\right)|\leq|C^{(\lambda)}_{2m}\left(0\right)|=\left|\frac{{\left(\lambda\right)_{m}}}{m!}\right|,}}$

Constraint(s)

${\displaystyle{\displaystyle-\tfrac{1}{2}<\lambda<0}}$

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
• ${\displaystyle{\displaystyle m}}$: nonnegative integer
• ${\displaystyle{\displaystyle x}}$: real variable
 

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