Further results on fixpoints and zeros of entire functions
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- by Jian Hua Zheng and Chung-Chun Yang PDF
- Trans. Amer. Math. Soc. 347 (1995), 37-50 Request permission
Abstract:
In this paper, a quantitative estimation on the number of zeros of the function $f \circ g(z) - \alpha (z)$ is derived, where $f$ and $g$ 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 $n$ of ${f_n}$ ($n$th iterate of $f$) is obtained.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- 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