Abstract
Given two permutable entire functions f and g, we establish vital relationship between escaping sets of entire functions f, g and their composition. We provide some families of transcendental entire functions for which Eremenko’s conjecture holds. In addition, we investigate the dynamical properties of the mapping \(f(z)=z+1+e^{-z}.\)
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Acknowledgements
We are thankful to Sanjay Kumar Pant, DDU College, University of Delhi for his valuable comments and suggestions. We are also grateful to the referee’s diligence and helpful suggestions to enhance the quality of the paper.
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Communicated by Kaushal Verma.
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Kaur, R., Kumar, D. Results on escaping set of an entire function and its composition. Indian J Pure Appl Math 52, 79–86 (2021). https://doi.org/10.1007/s13226-021-00121-9
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DOI: https://doi.org/10.1007/s13226-021-00121-9