On q-Exponential Functions for |q| = 1

Lubinsky, D. S.

Canadian mathematical bulletin, Tome 41 (1998) no. 1, pp. 86-97

Résumé

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 ${{\lim }_{q\to 1}}\,{{e}_{q}}\,((1-q)z)\,=\,{{e}^{z}}.$

Détail

DOI : 10.4153/CMB-1998-014-x

Mots-clés : 33D05, 11A55, 11K70, q-series, q-exponentials

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