DLMF:23.22.E2 (Q7389): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
Defining formula:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2aadec
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
Property / Symbols used
 
Property / Symbols used: Q12049 / rank
 
Normal rank
Property / Symbols used: Q12049 / qualifier
 
Defining formula:

ω 1 subscript 𝜔 1 {\displaystyle{\displaystyle\omega_{1}}}

\omega_{1}
Property / Symbols used: Q12049 / qualifier
 
xml-id: C23.S1.XMD8.m1adec

Latest revision as of 01:22, 2 January 2020

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DLMF:23.22.E2
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    Statements

    2 ω 1 = - 2 i ω 3 = ( Γ ( 1 4 ) ) 2 2 π c 1 / 4 . 2 subscript 𝜔 1 2 𝑖 subscript 𝜔 3 superscript Euler-Gamma 1 4 2 2 𝜋 superscript 𝑐 1 4 {\displaystyle{\displaystyle 2\omega_{1}=-2i\omega_{3}=\frac{\left(\Gamma\left% (\frac{1}{4}\right)\right)^{2}}{2\sqrt{\pi}c^{1/4}}.}}
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    DLMF:23.22.E2
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    Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    C5.S2.E1.m2adec
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2aadec
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    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    C1.S9.E1.m2aadec
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    ω 1 subscript 𝜔 1 {\displaystyle{\displaystyle\omega_{1}}}
    C23.S1.XMD8.m1adec
    0 references