Abstract
In this paper we investigate the primeness of a class of entire functions and discuss the dynamics of a periodic member f of this class with respect to a transcendental entire function g that permutes with f. In particular we show that the Julia sets of f and g are identical.
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The work of first author is partially supported by Mathematical Research Impact Centric Support (MATRICS) grant, File No. MTR/2018/000446, by the Science and Engineering Research Board (SERB), Department of Science and Technology (DST), Government of India.
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Author K. S. Charak declares that he has no conflict of interest. Author M. Kumar declares that he has no conflict of interest. Author A. Singh declares that he has no conflict of interest.
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This article does not contain any studies with human participants or animals performed by any of the authors.
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Communicated by Samy Ponnusamy.
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Charak, K.S., Kumar, M. & Singh, A. Some remarks on primeness and dynamics of some classes of entire functions. J Anal 30, 1115–1129 (2022). https://doi.org/10.1007/s41478-022-00396-z
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DOI: https://doi.org/10.1007/s41478-022-00396-z