DLMF:5.18.E7 (Q2194): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11280 / rank
 
Normal rank
Property / Symbols used: Q11280 / qualifier
 
Defining formula:

q 𝑞 {\displaystyle{\displaystyle q}}

q
Property / Symbols used: Q11280 / qualifier
 
xml-id: C5.S1.XMD10.m1fdec

Revision as of 01:10, 2 January 2020

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DLMF:5.18.E7
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    Statements

    Defining formula
    Γ q ⁡ ( z + 1 ) = 1 - q z 1 - q ⁢ Γ q ⁡ ( z ) . q-Gamma 𝑞 𝑧 1 1 superscript 𝑞 𝑧 1 𝑞 q-Gamma 𝑞 𝑧 {\displaystyle{\displaystyle\Gamma_{q}\left(z+1\right)=\frac{1-q^{z}}{1-q}% \Gamma_{q}\left(z\right).}}
    0 references
    DLMF id
    DLMF:5.18.E7
    0 references
    Symbols used
    $$q$$ -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.m2acdec
    0 references
    Q11280
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C5.S1.XMD10.m1fdec
    0 references
     
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