DLMF:18.14.E2

MaRDI QIDQ6362

• Label: DLMF:18.14.E2

Digital Library of Mathematical Functions ID 18.14.E2

${\displaystyle{\displaystyle|P^{(\alpha,\beta)}_{n}\left(x\right)|\leq|P^{(\alpha,\beta)}_{n}\left(-1\right)|=\frac{{\left(\beta+1\right)_{n}}}{n!},}}$

Constraint(s)

${\displaystyle{\displaystyle\beta\geq-\tfrac{1}{2}}}$

Symbols List

• ${\displaystyle{\displaystyle P^{(\NVar{\alpha},\NVar{\beta})}_{\NVar{n}}\left(\NVar{x}\right)}}$: Jacobi polynomial
• ${\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}$:
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle x}}$: real variable
 

Resources that cite this formula

No records found.