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DLMF:18.33.E5 - MaRDI portal

DLMF:18.33.E5 (Q6707)

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DLMF:18.33.E5
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    Statements

    DLMF defining formula
    κ n ⁢ ϕ n + 1 ⁢ ( z ) = κ n + 1 ⁢ z ⁢ ϕ n ⁢ ( z ) + ϕ n + 1 ⁢ ( 0 ) ⁢ ϕ n * ⁢ ( z ) , subscript 𝜅 𝑛 subscript italic-ϕ 𝑛 1 𝑧 subscript 𝜅 𝑛 1 𝑧 subscript italic-ϕ 𝑛 𝑧 subscript italic-ϕ 𝑛 1 0 superscript subscript italic-ϕ 𝑛 𝑧 {\displaystyle{\displaystyle\kappa_{n}\phi_{n+1}(z)=\kappa_{n+1}z\phi_{n}(z)+% \phi_{n+1}(0)\phi_{n}^{*}(z),}}
    0 references
    comment
    Warning: Falling back to standard tex;
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    Symbols used
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C18.S1.XMD2.m1ddec
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    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1ddec
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    polynomials
    DLMF defining formula
    ϕ n ⁢ ( z ) subscript italic-ϕ 𝑛 𝑧 {\displaystyle{\displaystyle\phi_{n}(z)}}
    xml-id
    C18.S33.XMD1.m1ddec
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    Identifiers

     
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