Existence of wandering and periodic domain in given angular region

Year, pages: 2020, 839 - 848

Dynamics of composition of entire functions is well related to it's factors, as it is known that for entire functions $f$ and $g$, \textit{fog} has wandering domain if and only if \textit{gof} has wandering domain. However the Fatou components may have different structures and properties. In this paper we have shown the existence of domains with all possibilities of wandering and periodic in given angular region $θ$.

Mishra, V., Tomar, G. 2020. Existence of wandering and periodic domain in given angular region. In Mathematica Slovaca, vol. 70, no.4, pp. 839-848. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0397

Mishra, V., Tomar, G. (2020). Existence of wandering and periodic domain in given angular region. Mathematica Slovaca, 70(4), 839-848. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0397

Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava