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On a one-parameter family of q-exponential functions

Published under licence by IOP Publishing Ltd
, , Citation N M Atakishiyev 1996 J. Phys. A: Math. Gen. 29 L223 DOI 10.1088/0305-4470/29/10/001

0305-4470/29/10/L223

Abstract

We examine the properties of a family of q-exponential functions, which depend on an extra parameter . These functions have a well defined meaning for both the 0 < |q| < 1 and |q| > 1 cases if only . It is shown that any two members of this family with different values of the parameter are related to each other by a Fourier - Gauss transformation.

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10.1088/0305-4470/29/10/001