DLMF:18.9.E4

MaRDI QIDQ6297

• Label: DLMF:18.9.E4

Digital Library of Mathematical Functions ID 18.9.E4

${\displaystyle{\displaystyle(1-x)P^{(\alpha+1,\beta)}_{n}\left(x\right)+(1+x)P^{(\alpha,\beta+1)}_{n}\left(x\right)=2P^{(\alpha,\beta)}_{n}\left(x\right).}}$

Symbols List

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

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