Special functions and q-commuting variables

Details Special functions and q-commuting variables Special functions and q-commuting variables

1996-08-13

arxiv.org/abs/q-alg/9608008v2

Fields Institute Communications 14, American Mathematical Society, 1997, pp. 131-166

Mathematics

Quantum Algebra

plain TeX, 35 pages; Univ. of Amsterdam, Dept. of Math.; to appear in "Special Functions, q-Series and Related Topics", The Fi

Scientific paper

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.

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