Special functions and q-commuting variables
q-alg
2008-02-03 v2 Quantum Algebra
Abstract
This paper is mostly a survey, with a few new results. The first part deals with functional equations for q-exponentials, q-binomials and q-logarithms in q-commuting variables and more generally under q-Heisenberg relations. The second part discusses translation invariance of Jackson integrals, q-Fourier transforms and the braided line.
Cite
@article{arxiv.q-alg/9608008,
title = {Special functions and q-commuting variables},
author = {Tom H. Koornwinder},
journal= {arXiv preprint arXiv:q-alg/9608008},
year = {2008}
}
Comments
plain TeX, 35 pages; Univ. of Amsterdam, Dept. of Math.; to appear in "Special Functions, q-Series and Related Topics", The Fields Institute Communications Series, minor revision, mainly linguistic