Geodesic
On q-Exponential Functions for |q| = 1
Canadian mathematical bulletin, Tome 41 (1998) no. 1, pp. 86-97

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DOI

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 ${{\lim }_{q\to 1}}\,{{e}_{q}}\,((1-q)z)\,=\,{{e}^{z}}.$
DOI : 10.4153/CMB-1998-014-x
Mots-clés : 33D05, 11A55, 11K70, q-series, q-exponentials 
Lubinsky, D. S. On q-Exponential Functions for |q| = 1. Canadian mathematical bulletin, Tome 41 (1998) no. 1, pp. 86-97. doi: 10.4153/CMB-1998-014-x
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     title = {On {q-Exponential} {Functions} for |q| = 1},
     journal = {Canadian mathematical bulletin},
     pages = {86--97},
     year = {1998},
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     number = {1},
     doi = {10.4153/CMB-1998-014-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-014-x/}
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