Multiplication Formulas for the Elliptic Gamma Function

Details Multiplication Formulas for the Elliptic Gamma Function Multiplication Formulas for the Elliptic Gamma Function

2002-12-11

arxiv.org/abs/math/0212155v1

Mathematics

Quantum Algebra

Latex, 5 pages

Scientific paper

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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