DLMF:9.2.E4 (Q2756): Difference between revisions

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

Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

\EulerGamma@{\NVar{z}}
Property / Symbols used: gamma function / qualifier
 
xml-id: C5.S2.E1.m2aadec

Latest revision as of 14:21, 2 January 2020

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DLMF:9.2.E4
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    Statements

    Defining formula
    Ai ′ ⁡ ( 0 ) = - 1 3 1 / 3 ⁢ Γ ⁡ ( 1 3 ) = - 0.25881 94037 ⁢ … , diffop Airy-Ai 1 0 1 superscript 3 1 3 Euler-Gamma 1 3 0.25881 94037 … {\displaystyle{\displaystyle\mathrm{Ai}'\left(0\right)=-\frac{1}{3^{1/3}\Gamma% \left(\tfrac{1}{3}\right)}=-0.25881\;94037\ldots,}}
    0 references
    DLMF id
    DLMF:9.2.E4
    0 references
    Symbols used
    Q10919
    Defining formula
    Ai ⁡ ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m1abdec
    0 references
    gamma function
    Defining formula
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2aadec
    0 references
     
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