DLMF:25.9.E2 (Q7669): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10769 / rank
 
Normal rank
Property / Symbols used: Q10769 / qualifier
 
Defining formula:

≡ equal-by definition {\displaystyle{\displaystyle\equiv}}

\defeq
Property / Symbols used: Q10769 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r9.m2adec

Revision as of 13:35, 2 January 2020

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DLMF:25.9.E2
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    Statements

    Defining formula
    χ ⁢ ( s ) ≡ π s - 1 2 ⁢ Γ ⁡ ( 1 2 - 1 2 ⁢ s ) / Γ ⁡ ( 1 2 ⁢ s ) . equal-by definition 𝜒 𝑠 superscript 𝜋 𝑠 1 2 Euler-Gamma 1 2 1 2 𝑠 Euler-Gamma 1 2 𝑠 {\displaystyle{\displaystyle\chi(s)\equiv\pi^{s-\frac{1}{2}}\Gamma\left(\tfrac% {1}{2}-\tfrac{1}{2}s\right)/\Gamma\left(\tfrac{1}{2}s\right).}}
    0 references
    DLMF id
    DLMF:25.9.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.m2adec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
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    Q10769
    Defining formula
    ≡ equal-by definition {\displaystyle{\displaystyle\equiv}}
    xml-id
    introduction.Sx4.p1.t1.r9.m2adec
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