Further results on fixpoints and zeros of entire functions

Zheng, Jian Hua; Yang, Chung-Chun

doi:10.1090/S0002-9947-1995-1179403-9

Further results on fixpoints and zeros of entire functions

Authors: Jian Hua Zheng and Chung-Chun Yang
Journal: Trans. Amer. Math. Soc. 347 (1995), 37-50
MSC: Primary 30D05; Secondary 30D20
DOI: https://doi.org/10.1090/S0002-9947-1995-1179403-9
MathSciNet review: 1179403
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Abstract: In this paper, a quantitative estimation on the number of zeros of the function $f \circ g(z) - \alpha (z)$ is derived, where and are transcendental entire functions and $\alpha (z)$ a nonconstant polynomial. As an application of this and a further step towards an affirmative answer to a conjecture of Baker, a quantitative estimation on the number of period points of exact order of ${f_n}$ (th iterate of ) is obtained.

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