Special functions and q-commuting variables

Tom H. Koornwinder

Special functions and q-commuting variables

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arxiv q-alg/9608008 v2 pith:J4VGYDY2 submitted 1996-08-13 q-alg math.QA

Tom H. Koornwinder This is my paper

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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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