Geodesic
Common hypercyclic entire functions for multiples of differential operators
George Costakis 1   ; Panagiotis Mavroudis 1
1 Department of Mathematics University of Crete Knossos Avenue GR-714 09 Heraklion, Crete, Greece
Colloquium Mathematicum, Tome 111 (2008) no. 2, pp. 199-203 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The purpose of the present note is to prove the existence of common hypercyclic entire functions for the family of differential operators $\{ \lambda p(D) :\lambda \in \mathbb{C} \setminus \{ 0\} \}$, where $D$ is the differentiation operator acting on the space of entire functions and $p$ a non-constant polynomial.
DOI : 10.4064/cm111-2-3
Keywords: purpose present note prove existence common hypercyclic entire functions family differential operators lambda lambda mathbb setminus where differentiation operator acting space entire functions non constant polynomial

George Costakis  1   ; Panagiotis Mavroudis  1

1 Department of Mathematics University of Crete Knossos Avenue GR-714 09 Heraklion, Crete, Greece 
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George Costakis; Panagiotis Mavroudis. Common hypercyclic entire functions for
 multiples of differential operators. Colloquium Mathematicum, Tome 111 (2008) no. 2, pp. 199-203. doi: 10.4064/cm111-2-3

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