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No entire function with real multipliers in class $\mathcal{S}$
| 1. | Faculty of Mathematics and Information Science, Warsaw University of Technology, ul. Koszykowa 75, 00-662 Warszawa, Poland |
References:
| [1] |
A. Badeńska, Measure rigidity for some transcendental meromorphic functions, Discrete Contin. Dyn. Syst., 32 (2012), 2375-2402.
doi: 10.3934/dcds.2012.32.2375. |
| [2] |
W. Bergweiler, Iteration of meromorphic functions, Bull. Amer. Math. Soc., 29 (1993), 151-188.
doi: 10.1090/S0273-0979-1993-00432-4. |
| [3] |
A. Eremenko and S. van Strien, Rational maps with real multipliers, Trans. Amer. Math. Soc., 363 (2011), 6453-6463.
doi: 10.1090/S0002-9947-2011-05308-0. |
| [4] |
P. Fatou, Sur les équations fonctionnelles, Bull. Soc. Math. France, 48 (1920), 208-314. |
| [5] |
V. Mayer, Comparing measures and invariant line fields, Ergodic Theory Dynam. Systems, 22 (2002), 555-570.
doi: 10.1017/S0143385702000275. |
| [6] |
L. Rempe and S. van Strien, Absence of line fields and Mañé's theorem for nonrecurrent transcendental functions, Trans. Amer. Math. Soc., 363 (2011), 203-228.
doi: 10.1090/S0002-9947-2010-05125-6. |
| [7] |
G. M. Stallard, The Hausdorff dimension of Julia sets of entire functions. II, Math. Proc. Cambridge Philos. Soc., 119 (1996), 513-536.
doi: 10.1017/S0305004100074387. |
show all references
References:
| [1] |
A. Badeńska, Measure rigidity for some transcendental meromorphic functions, Discrete Contin. Dyn. Syst., 32 (2012), 2375-2402.
doi: 10.3934/dcds.2012.32.2375. |
| [2] |
W. Bergweiler, Iteration of meromorphic functions, Bull. Amer. Math. Soc., 29 (1993), 151-188.
doi: 10.1090/S0273-0979-1993-00432-4. |
| [3] |
A. Eremenko and S. van Strien, Rational maps with real multipliers, Trans. Amer. Math. Soc., 363 (2011), 6453-6463.
doi: 10.1090/S0002-9947-2011-05308-0. |
| [4] |
P. Fatou, Sur les équations fonctionnelles, Bull. Soc. Math. France, 48 (1920), 208-314. |
| [5] |
V. Mayer, Comparing measures and invariant line fields, Ergodic Theory Dynam. Systems, 22 (2002), 555-570.
doi: 10.1017/S0143385702000275. |
| [6] |
L. Rempe and S. van Strien, Absence of line fields and Mañé's theorem for nonrecurrent transcendental functions, Trans. Amer. Math. Soc., 363 (2011), 203-228.
doi: 10.1090/S0002-9947-2010-05125-6. |
| [7] |
G. M. Stallard, The Hausdorff dimension of Julia sets of entire functions. II, Math. Proc. Cambridge Philos. Soc., 119 (1996), 513-536.
doi: 10.1017/S0305004100074387. |
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