DLMF:14.15.E20 (Q4866): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q11617 / rank
 
Normal rank
Property / Symbols used: Q11617 / qualifier
 
Defining formula:

β 𝛽 {\displaystyle{\displaystyle\beta}}

\beta
Property / Symbols used: Q11617 / qualifier
 
xml-id: C14.S15.XMD10.m1ddec

Latest revision as of 01:52, 2 January 2020

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DLMF:14.15.E20
No description defined

    Statements

    Defining formula
    β = e μ ⁢ ( ν - μ + 1 2 ν + μ + 1 2 ) ( ν / 2 ) + ( 1 / 4 ) ⁢ ( ( ν + 1 2 ) 2 - μ 2 ) - μ / 2 , 𝛽 superscript 𝑒 𝜇 superscript 𝜈 𝜇 1 2 𝜈 𝜇 1 2 𝜈 2 1 4 superscript superscript 𝜈 1 2 2 superscript 𝜇 2 𝜇 2 {\displaystyle{\displaystyle\beta=e^{\mu}\left(\frac{\nu-\mu+\frac{1}{2}}{\nu+% \mu+\frac{1}{2}}\right)^{(\nu/2)+(1/4)}\left(\left(\nu+\tfrac{1}{2}\right)^{2}% -\mu^{2}\right)^{-\mu/2},}}
    0 references
    DLMF id
    DLMF:14.15.E20
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2abdec
    0 references
    Q11591
    Defining formula
    μ 𝜇 {\displaystyle{\displaystyle\mu}}
    xml-id
    C14.S1.XMD7.m1pdec
    0 references
    Q11590
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C14.S1.XMD8.m1pdec
    0 references
    Q11617
    Defining formula
    β 𝛽 {\displaystyle{\displaystyle\beta}}
    xml-id
    C14.S15.XMD10.m1ddec
    0 references
     
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