NON-TRIVIAL DEFORMATION OF AN ENTIRE FUNCTION abz + ebz+ c

In this note, we consider the dynamics of the family of transcendental entire functions f(z;a, b, c,) = abz+ ebz + c. In particular, while studying the case when they have a Baker domains, we investigate the area of Julia sets and the Hausdorff convergence of Julia sets.

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Bibliographic Details
Published in:Taiwanese journal of mathematics 2001-09, Vol.5 (3), p.641-646
Main Authors: Morosawa, Shunsuke, Taniguchi, Masahiko
Format: Article
Language:English
Subjects:
Critical points
Entire functions
Julia sets
Mathematical functions
Mathematical theorems
Perceptron convergence procedure
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Summary:In this note, we consider the dynamics of the family of transcendental entire functions f(z;a, b, c,) = abz+ ebz + c. In particular, while studying the case when they have a Baker domains, we investigate the area of Julia sets and the Hausdorff convergence of Julia sets.
ISSN:1027-5487
2224-6851
DOI:10.11650/twjm/1500574956