Nous donnons une démonstration alternative d’un théorème de Ismail et Stanton et appliquons cela à des fonctions entières arithmétiques.
We give a pure complex variable proof of a theorem by Ismail and Stanton and apply this result in the field of integer-valued entire functions. Our proof rests on a very general interpolation result for entire functions.
@article{JTNB_2005__17_1_397_0, author = {Welter, Michael}, title = {Interpolation of entire functions on regular sparse sets and $q${-Taylor} series}, journal = {Journal de Th\'eorie des Nombres de Bordeaux}, pages = {397--404}, publisher = {Universit\'e Bordeaux 1}, volume = {17}, number = {1}, year = {2005}, doi = {10.5802/jtnb.497}, mrnumber = {2152231}, zbl = {1079.30032}, language = {en}, url = {http://www.numdam.org/articles/10.5802/jtnb.497/} }
TY - JOUR AU - Welter, Michael TI - Interpolation of entire functions on regular sparse sets and $q$-Taylor series JO - Journal de Théorie des Nombres de Bordeaux PY - 2005 DA - 2005/// SP - 397 EP - 404 VL - 17 IS - 1 PB - Université Bordeaux 1 UR - http://www.numdam.org/articles/10.5802/jtnb.497/ UR - https://www.ams.org/mathscinet-getitem?mr=2152231 UR - https://zbmath.org/?q=an%3A1079.30032 UR - https://doi.org/10.5802/jtnb.497 DO - 10.5802/jtnb.497 LA - en ID - JTNB_2005__17_1_397_0 ER -
Welter, Michael. Interpolation of entire functions on regular sparse sets and $q$-Taylor series. Journal de Théorie des Nombres de Bordeaux, Tome 17 (2005) no. 1, pp. 397-404. doi : 10.5802/jtnb.497. http://www.numdam.org/articles/10.5802/jtnb.497/
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