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.
Nous donnons une démonstration alternative d’un théorème de Ismail et Stanton et appliquons cela à des fonctions entières arithmétiques.
@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 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 -
%0 Journal Article %A Welter, Michael %T Interpolation of entire functions on regular sparse sets and $q$-Taylor series %J Journal de théorie des nombres de Bordeaux %D 2005 %P 397-404 %V 17 %N 1 %I Université Bordeaux 1 %U https://doi.org/10.5802/jtnb.497 %R 10.5802/jtnb.497 %G en %F JTNB_2005__17_1_397_0
Welter, Michael. Interpolation of entire functions on regular sparse sets and $q$-Taylor series. Journal de théorie des nombres de Bordeaux, Volume 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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