DLMF:5.18.E10 (Q2197): Difference between revisions

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

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

\qGamma{\NVar{q}}@{\NVar{z}}
Property / Symbols used: $$q$$ -gamma function / qualifier
 
xml-id: C5.S18.E4.m2afdec

Revision as of 01:10, 2 January 2020

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DLMF:5.18.E10
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    Statements

    Defining formula
    lim q → 1 - ⁡ Γ q ⁡ ( z ) = Γ ⁡ ( z ) . subscript → 𝑞 limit-from 1 q-Gamma 𝑞 𝑧 Euler-Gamma 𝑧 {\displaystyle{\displaystyle\lim_{q\to 1-}\Gamma_{q}\left(z\right)=\Gamma\left% (z\right).}}
    0 references
    DLMF id
    DLMF:5.18.E10
    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
    $$q$$ -gamma function
    Defining formula
    Γ q ⁡ ( z ) q-Gamma 𝑞 𝑧 {\displaystyle{\displaystyle\Gamma_{\NVar{q}}\left(\NVar{z}\right)}}
    xml-id
    C5.S18.E4.m2afdec
    0 references
     
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