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DLMF:18.33.E4 - MaRDI portal

DLMF:18.33.E4 (Q6706)

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DLMF:18.33.E4
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    Statements

    DLMF defining formula
    κ n ⁢ z ⁢ ϕ n ⁢ ( z ) = κ n + 1 ⁢ ϕ n + 1 ⁢ ( z ) - ϕ n + 1 ⁢ ( 0 ) ⁢ ϕ n + 1 * ⁢ ( z ) , subscript 𝜅 𝑛 𝑧 subscript italic-ϕ 𝑛 𝑧 subscript 𝜅 𝑛 1 subscript italic-ϕ 𝑛 1 𝑧 subscript italic-ϕ 𝑛 1 0 superscript subscript italic-ϕ 𝑛 1 𝑧 {\displaystyle{\displaystyle\kappa_{n}z\phi_{n}(z)=\kappa_{n+1}\phi_{n+1}(z)-% \phi_{n+1}(0)\phi_{n+1}^{*}(z),}}
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    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.m1cdec
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    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1cdec
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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.m1cdec
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    Identifiers

     
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