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- W2113649406 abstract "Let $f$ be a transcendental meromorphic function and $U$ a Baker domain of $f$. We obtain new estimates for the behaviour of the iterates of $f$ in $U$ and we use these estimates to improve an earlier result relating the geometric properties of $U$ to the proximity of $f$ to the identity function in $U$. We also apply these estimates to Baker domains of transcendental meromorphic functions $f$ of the formbegin{gather*} f(z) = az + bz^ke^{-z}(1+o(1)) quad text{as } Re (z) rightarrow infty, end{gather*}where $k in {mathbb N}, a > 1$ and $b > 0$, and show that these Baker domains contain an unbounded set of critical points and an unbounded set of critical values." @default.
- W2113649406 created "2016-06-24" @default.
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- W2113649406 date "2006-07-03" @default.
- W2113649406 modified "2023-10-18" @default.
- W2113649406 title "Baker domains of meromorphic functions" @default.
- W2113649406 doi "https://doi.org/10.1017/s0143385706000162" @default.
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