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On q-Exponential Functions for |q| = 1

Published online by Cambridge University Press:  20 November 2018

D. S. Lubinsky
D. S. Lubinsky*
Affiliation:
Department of Mathematics Witwatersrand University Wits 2050 South Africa, e-mail: 036dsl@cosmos.wits.ac.za
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Abstract

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We discuss the $q$-exponential functions ${{e}_{q}},\,{{E}_{q}}$ for $q$ on the unit circle, especially their continuity in $q$, and analogues of the limit relation ${{\lim }_{q\to 1}}\,{{e}_{q}}\,((1-q)z)\,=\,{{e}^{z}}.$

Keywords

33D0511A5511K70q-seriesq-exponentials
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 41 , Issue 1 , 01 March 1998 , pp. 86 - 97
Copyright
Copyright © Canadian Mathematical Society 1998

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