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Journal de Th´

eorie des Nombres

de Bordeaux

17

(2005), 397–404

Interpolation of entire functions on regular sparse

sets and

q

-Taylor series

par

Michael WELTER

R´esum´e. Nous donnons une d´emonstration alternative d’un th´eo-r`eme de Ismail et Stanton et appliquons cela `a des fonctions en-ti`eres arithm´etiques.

Abstract. We give a pure complex variable proof of a theo-rem 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.

MichaelWelter

Mathematisches Institut der Universit¨at Bonn Beringstr. 4

53115 Bonn, Allemagne

E-mail:[email protected]

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