English

Multiplication Formulas for the Elliptic Gamma Function

Quantum Algebra 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0212155,
  title  = {Multiplication Formulas for the Elliptic Gamma Function},
  author = {G. Felder and A. Varchenko},
  journal= {arXiv preprint arXiv:math/0212155},
  year   = {2007}
}

Comments

Latex, 5 pages