The multiple gamma functions and the multiple q-gamma functions
classification
q-alg
math.QA
keywords
functionsmultiplegammaproductq-gammarepresentationasymptoticclassical
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We give an asymptotic expansion (the higher Stirling formula) and an infinite product representation (the Weierstrass product representation) of the Vign\'{e}ras multiple gamma functions by considering the classical limit of the multiple q-gamma functions.
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