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Multiplication Formulas for the Elliptic Gamma Function

2002/12/11 by G. Felder, Felder, G., A. Varchenko +1
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.math/0212155

Latex, 5 pages

arxiv created 2002/12/11 · arxiv updated 2009/11/30

Abstract

The elliptic gamma function is a generalization of the Euler gamma function. Its trigonometric and rational degenerations are the Jackson q-gamma function and the Euler gamma function. We prove multiplication formulas for the elliptic gamma function, whose degenerations are the Gauss-Askey multiplication formula for the Euler and trigonometric gamma functions.

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