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2001 NON-TRIVIAL DEFORMATION OF AN ENTIRE FUNCTION abz +ebz + c
Shunsuke Morosawa, Masahiko Taniguchi
Taiwanese J. Math. 5(3): 641-646 (2001). DOI: 10.11650/twjm/1500574956

Abstract

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.

Citation

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Shunsuke Morosawa. Masahiko Taniguchi. "NON-TRIVIAL DEFORMATION OF AN ENTIRE FUNCTION abz +ebz + c." Taiwanese J. Math. 5 (3) 641 - 646, 2001. https://doi.org/10.11650/twjm/1500574956

Information

Published: 2001
First available in Project Euclid: 20 July 2017

zbMATH: 0989.30021
MathSciNet: MR1849784
Digital Object Identifier: 10.11650/twjm/1500574956

Subjects:
Primary: 30D05 , 37F50

Keywords: Baker domain , Hausdorff convergence , Julia set , transcendental entire function

Rights: Copyright © 2001 The Mathematical Society of the Republic of China

Vol.5 • No. 3 • 2001
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