DLMF:18.33.E6 (Q6012): 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.m1edec
Property / Symbols used
 
Property / Symbols used: Q11791 / rank
 
Normal rank
Property / Symbols used: Q11791 / qualifier
 
test:

ϕ n ( z ) subscript italic-ϕ 𝑛 𝑧 {\displaystyle{\displaystyle\phi_{n}(z)}}

\phi_{n}(z)
Property / Symbols used: Q11791 / qualifier
 
xml-id: C18.S33.XMD1.m1edec

Latest revision as of 12:27, 2 January 2020

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DLMF:18.33.E6
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    Statements

    κ n ϕ n ( 0 ) ϕ n + 1 ( z ) + κ n - 1 ϕ n + 1 ( 0 ) z ϕ n - 1 ( z ) = ( κ n ϕ n + 1 ( 0 ) + κ n + 1 ϕ n ( 0 ) z ) ϕ n ( z ) . subscript 𝜅 𝑛 subscript italic-ϕ 𝑛 0 subscript italic-ϕ 𝑛 1 𝑧 subscript 𝜅 𝑛 1 subscript italic-ϕ 𝑛 1 0 𝑧 subscript italic-ϕ 𝑛 1 𝑧 subscript 𝜅 𝑛 subscript italic-ϕ 𝑛 1 0 subscript 𝜅 𝑛 1 subscript italic-ϕ 𝑛 0 𝑧 subscript italic-ϕ 𝑛 𝑧 {\displaystyle{\displaystyle\kappa_{n}\phi_{n}(0)\phi_{n+1}(z)+\kappa_{n-1}% \phi_{n+1}(0)z\phi_{n-1}(z)=\left(\kappa_{n}\phi_{n+1}(0)+\kappa_{n+1}\phi_{n}% (0)z\right)\phi_{n}(z).}}
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    Warning: Falling back to standard tex;
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C18.S1.XMD2.m1edec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C18.S1.XMD6.m1edec
    0 references
    ϕ n ( z ) subscript italic-ϕ 𝑛 𝑧 {\displaystyle{\displaystyle\phi_{n}(z)}}
    C18.S33.XMD1.m1edec
    0 references