DLMF:5.18.E7 (Q2194)

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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
    Q11273
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C5.S1.XMD7.m1adec
    0 references
     
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