Formula:KLS:01.09:02

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formula in The q-gamma function and q-binomial coefficients

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${\displaystyle{\displaystyle{\displaystyle\lim\limits_{q\rightarrow 1}\Gamma_{q}\left(x\right)=\Gamma\left(x\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle\Gamma_{q}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-gamma function : http://dlmf.nist.gov/5.18#E4
${\displaystyle{\displaystyle{\displaystyle\Gamma}}}$ : Euler's gamma function : http://dlmf.nist.gov/5.2#E1

Bibliography

Equation in Section 1.9 of KLS.

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formula in The q-gamma function and q-binomial coefficients

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