Interpolation of entire functions on regular sparse sets and q-Taylor series

Interpolation of entire functions on regular sparse sets and q-Taylor series

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 rest...

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Veröffentlicht in:Journal de theorie des nombres de bordeaux 2005-01, Vol.17 (1), p.397-404
1. Verfasser: WELTER, Michael
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Entire functions
Exact sciences and technology
Integers
Interpolation
Mathematical theorems
Mathematics
Number theory
Polynomials
Sciences and techniques of general use
Taylor series
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Beschreibung
Zusammenfassung: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.
ISSN:1246-7405
2118-8572
DOI:10.5802/jtnb.497