DLMF:12.14.E2 (Q4237): Difference between revisions

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

i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}

\iunit
Property / Symbols used: imaginary unit / qualifier
 
xml-id: C1.S9.E1.m2aadec

Revision as of 15:26, 2 January 2020

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DLMF:12.14.E2
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    Statements

    Defining formula
    W ′ ⁡ ( a , 0 ) = - 2 - 1 4 ⁢ | Γ ⁡ ( 3 4 + 1 2 ⁢ i ⁢ a ) Γ ⁡ ( 1 4 + 1 2 ⁢ i ⁢ a ) | 1 2 . diffop parabolic-W 1 𝑎 0 superscript 2 1 4 superscript Euler-Gamma 3 4 1 2 𝑖 𝑎 Euler-Gamma 1 4 1 2 𝑖 𝑎 1 2 {\displaystyle{\displaystyle W'\left(a,0\right)=-2^{-\frac{1}{4}}\left|\frac{% \Gamma\left(\tfrac{3}{4}+\tfrac{1}{2}ia\right)}{\Gamma\left(\tfrac{1}{4}+% \tfrac{1}{2}ia\right)}\right|^{\frac{1}{2}}.}}
    0 references
    DLMF id
    DLMF:12.14.E2
    0 references
    Symbols used
    gamma function
    Defining formula
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2aadec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2aadec
    0 references
     
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