Volume 56, Issue 4
Complex Dynamical Properties of Some Special Entire Functions

Xiubi Wu & Xue Li

J. Math. Study, 56 (2023), pp. 327-339.

Published online: 2023-12

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  • Abstract

Research on the Julia sets of meromorphic functions has been one of the hot topics in complex dynamics. In this paper, we shall investigate the radial distribution of the Julia sets of entire functions which are extremal for some famous inequalities. Our estimates for these particular functions are more accurate than others.

  • AMS Subject Headings

34M10, 30D35

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COPYRIGHT: © Global Science Press

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@Article{JMS-56-327, author = {Wu , Xiubi and Li , Xue}, title = {Complex Dynamical Properties of Some Special Entire Functions}, journal = {Journal of Mathematical Study}, year = {2023}, volume = {56}, number = {4}, pages = {327--339}, abstract = {

Research on the Julia sets of meromorphic functions has been one of the hot topics in complex dynamics. In this paper, we shall investigate the radial distribution of the Julia sets of entire functions which are extremal for some famous inequalities. Our estimates for these particular functions are more accurate than others.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v56n4.23.01}, url = {http://global-sci.org/intro/article_detail/jms/22252.html} }
TY - JOUR T1 - Complex Dynamical Properties of Some Special Entire Functions AU - Wu , Xiubi AU - Li , Xue JO - Journal of Mathematical Study VL - 4 SP - 327 EP - 339 PY - 2023 DA - 2023/12 SN - 56 DO - http://doi.org/10.4208/jms.v56n4.23.01 UR - https://global-sci.org/intro/article_detail/jms/22252.html KW - Radial distribution, Borel direction, Fatou set, deficient values. AB -

Research on the Julia sets of meromorphic functions has been one of the hot topics in complex dynamics. In this paper, we shall investigate the radial distribution of the Julia sets of entire functions which are extremal for some famous inequalities. Our estimates for these particular functions are more accurate than others.

Wu , Xiubi and Li , Xue. (2023). Complex Dynamical Properties of Some Special Entire Functions. Journal of Mathematical Study. 56 (4). 327-339. doi:10.4208/jms.v56n4.23.01
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