Dynamics of meromorphic maps : maps with polynomial schwarzian derivative

Robert L. Devaney; Linda Keen

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Keen, Linda, Kotus, Janina (1999)

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Schwarzian derivatives of topologically finite meromorphic functions.

Epstein, Adam Lawrence (2002)

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On the Hausdorff dimension of Julia sets of meromorphic functions. II

Janina Kotus (1995)

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Lei Tan (2002)

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Walter Bergweiler, Alexander Eremenko (1995)

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Our main result implies the following theorem: Let f be a transcendental meromorphic function in the complex plane. If f has finite order ρ, then every asymptotic value of f, except at most 2ρ of them, is a limit point of critical values of f. We give several applications of this theorem. For example we prove that if f is a transcendental meromorphic function then f'fⁿ with n ≥ 1 takes every finite non-zero value infinitely often. This proves a conjecture...

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