No entire function with real multipliers in class $\mathcal{S}$

Agnieszka Badeńska

doi:10.3934/dcds.2013.33.3321

Article Contents

2013, Volume 33, Issue 8: 3321-3327. Doi: 10.3934/dcds.2013.33.3321

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No entire function with real multipliers in class $\mathcal{S}$

Agnieszka Badeńska^1,

1.
Faculty of Mathematics and Information Science, Warsaw University of Technology, ul. Koszykowa 75, 00-662 Warszawa

Received: July 2012

Revised: August 2012

Published online: January 2013

Abstract / Introduction Related Papers Cited by

Abstract

We prove that there is no entire transcendental function in class $\mathcal{S}$ with real multipliers of all repelling periodic orbits.

Keywords:

Mathematics Subject Classification: Primary: 30D05; Secondary: 37F10.

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References

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