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DLMF:8.18.E4 - MaRDI portal

DLMF:8.18.E4 (Q3368)

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DLMF:8.18.E4
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    Statements

    DLMF defining formula
    a ⁢ F k + 1 = ( k + b - a ⁢ ξ ) ⁢ F k + k ⁢ ξ ⁢ F k - 1 , 𝑎 subscript 𝐹 𝑘 1 𝑘 𝑏 𝑎 𝜉 subscript 𝐹 𝑘 𝑘 𝜉 subscript 𝐹 𝑘 1 {\displaystyle{\displaystyle aF_{k+1}=(k+b-a\xi)F_{k}+k\xi F_{k-1},}}
    0 references
    comment
    Warning: Falling back to standard tex;
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    Symbols used
    nonnegative integer
    DLMF defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C8.S1.XMD5.m1bdec
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    parameter
    DLMF defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C8.S17.XMD1.m1bdec
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    parameter
    DLMF defining formula
    b 𝑏 {\displaystyle{\displaystyle b}}
    xml-id
    C8.S17.XMD2.m1bdec
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    change of variable
    DLMF defining formula
    ξ 𝜉 {\displaystyle{\displaystyle\xi}}
    xml-id
    C8.S18.XMD1.m1adec
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    functions
    DLMF defining formula
    F k subscript 𝐹 𝑘 {\displaystyle{\displaystyle F_{k}}}
    xml-id
    C8.S18.XMD2.m1adec
    0 references

    Identifiers

     
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