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arxiv: q-alg/9602033 · v1 · submitted 1996-02-27 · q-alg · math.QA

The multiple gamma function and its q-analogue

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

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