DLMF:18.15.E23 (Q5718): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q11758 / rank
 
Normal rank
Property / Symbols used: Q11758 / qualifier
 
Defining formula:

ζ 𝜁 {\displaystyle{\displaystyle\zeta}}

\zeta
Property / Symbols used: Q11758 / qualifier
 
xml-id: C18.S15.XMD18.m1bdec

Revision as of 15:40, 2 January 2020

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DLMF:18.15.E23
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    Statements

    Defining formula
    F 0 ⁢ ( ζ ) = - 5 48 ⁢ ζ 2 + ( x - 1 x ⁢ ζ ) 1 2 ⁢ ( 1 2 ⁢ α 2 - 1 8 - 1 4 ⁢ x x - 1 + 5 24 ⁢ ( x x - 1 ) 2 ) , subscript 𝐹 0 𝜁 5 48 superscript 𝜁 2 superscript 𝑥 1 𝑥 𝜁 1 2 1 2 superscript 𝛼 2 1 8 1 4 𝑥 𝑥 1 5 24 superscript 𝑥 𝑥 1 2 {\displaystyle{\displaystyle F_{0}(\zeta)=-\frac{5}{48\zeta^{2}}+\left(\frac{x% -1}{x\zeta}\right)^{\frac{1}{2}}\left(\frac{1}{2}\alpha^{2}-\frac{1}{8}-\frac{% 1}{4}\frac{x}{x-1}+\frac{5}{24}\left(\frac{x}{x-1}\right)^{2}\right),}}
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    DLMF id
    DLMF:18.15.E23
    0 references
    comment
    Warning: Falling back to standard tex;
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    constraint
    0 ≤ x < ∞ 0 𝑥 {\displaystyle{\displaystyle 0\leq x<\infty}}
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    Symbols used
    Q11730
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C18.S1.XMD5.m1odec
    0 references
    Q11758
    Defining formula
    ζ 𝜁 {\displaystyle{\displaystyle\zeta}}
    xml-id
    C18.S15.XMD18.m1bdec
    0 references
     
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