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DLMF:18.16.E11 - MaRDI portal

DLMF:18.16.E11 (Q6431)

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DLMF:18.16.E11
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    Statements

    DLMF defining formula
    x n , m < ( 4 ⁢ m + 2 ⁢ α + 2 ) ⁢ ( 2 ⁢ m + α + 1 + ( ( 2 ⁢ m + α + 1 ) 2 + 1 4 - α 2 ) 1 2 ) / ν . subscript 𝑥 𝑛 𝑚 4 𝑚 2 𝛼 2 2 𝑚 𝛼 1 superscript superscript 2 𝑚 𝛼 1 2 1 4 superscript 𝛼 2 1 2 𝜈 {\displaystyle{\displaystyle x_{n,m}<(4m+2\alpha+2)\left(2m+\alpha+1+\left((2m% +\alpha+1)^{2}+\tfrac{1}{4}-\alpha^{2}\right)^{\frac{1}{2}}\right)\Big{/}\nu.}}
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    nonnegative integer
    DLMF defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C18.S1.XMD5.m1hdec
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    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1jdec
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    18.15.E17
    DLMF defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C18.S15.XMD14.m1adec
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    real variable
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1bdec
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    Identifiers

     
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