DLMF:18.9.E3 (Q5599): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11726 / rank
 
Normal rank
Property / Symbols used: Q11726 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11726 / qualifier
 
xml-id: C18.S1.XMD6.m1cdec
Property / Symbols used
 
Property / Symbols used: Q11727 / rank
 
Normal rank
Property / Symbols used: Q11727 / qualifier
 
test:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11727 / qualifier
 
xml-id: C18.S2.XMD3.m1bdec

Latest revision as of 14:22, 2 January 2020

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DLMF:18.9.E3
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    Statements

    P n ( α , β - 1 ) ( x ) - P n ( α - 1 , β ) ( x ) = P n - 1 ( α , β ) ( x ) , Jacobi-polynomial-P 𝛼 𝛽 1 𝑛 𝑥 Jacobi-polynomial-P 𝛼 1 𝛽 𝑛 𝑥 Jacobi-polynomial-P 𝛼 𝛽 𝑛 1 𝑥 {\displaystyle{\displaystyle P^{(\alpha,\beta-1)}_{n}\left(x\right)-P^{(\alpha% -1,\beta)}_{n}\left(x\right)=P^{(\alpha,\beta)}_{n-1}\left(x\right),}}
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    P n ( α , β ) ( x ) Jacobi-polynomial-P 𝛼 𝛽 𝑛 𝑥 {\displaystyle{\displaystyle P^{(\NVar{\alpha},\NVar{\beta})}_{\NVar{n}}\left(% \NVar{x}\right)}}
    C18.S3.T1.t1.r2.m2adec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C18.S1.XMD6.m1cdec
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    x 𝑥 {\displaystyle{\displaystyle x}}
    C18.S2.XMD3.m1bdec
    0 references