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Formula:2892

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Digital Library of Mathematical Functions ID 5.18.E7

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).}}


Constraint(s)

Symbols List

  • Γ q ⁡ ( z ) q-Gamma 𝑞 𝑧 {\displaystyle{\displaystyle\Gamma_{\NVar{q}}\left(\NVar{z}\right)}} : $$q$$ -gamma function
  • q 𝑞 {\displaystyle{\displaystyle q}} : real or complex variable
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
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This page was last edited on 28 January 2024, at 10:30.
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