Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 43, 2018, 279-291

ON THE MULTIPLIERS OF REPELLING PERIODIC POINTS OF ENTIRE FUNCTIONS

Walter Bergweiler and Dan Liu

Christian-Albrechts-Universität zu Kiel, Mathematisches Seminar
Ludewig-Meyn-Str. 4, 24098 Kiel, Germany; bergweiler 'at' math.uni-kiel.de

South China Agricultural University, Department of Applied Mathematics
Guangzhou, 510642, P.R. China; liudan 'at' scau.edu.cn

Abstract. We give a lower bound for the multipliers of repelling periodic points of entire functions. The bound is deduced from a bound for the multipliers of fixed points of composite entire functions.

2010 Mathematics Subject Classification: Primary 37F10; Secondary 30D05.

Key words: Transcendental entire function, repelling fixed point, repelling periodic point, multiplier.

Reference to this article: W. Bergweiler and D. Liu: On the multipliers of repelling periodic points of entire functions. Ann. Acad. Sci. Fenn. Math. 43 (2018), 279-291.

Full document as PDF file

https://doi.org/10.5186/aasfm.2018.4316