Limiting directions of Julia sets of entire solutions of complex difference equations
Filomat, Tome 36 (2022) no. 11, p. 3745
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this paper, entire solutions of a class of non-linear difference equations are studied. Under some conditions, we find that the set of common limiting directions of Julia sets of solutions, their derivatives and their primitives must have a definite range of measure.
Classification :
34M10, 30D35, 37F10
Keywords: limiting direction, Julia sets, entire function, complex difference equation
Keywords: limiting direction, Julia sets, entire function, complex difference equation
Zheng Wang; Zhigang Huang. Limiting directions of Julia sets of entire solutions of complex difference equations. Filomat, Tome 36 (2022) no. 11, p. 3745 . doi: 10.2298/FIL2211745W
@article{10_2298_FIL2211745W,
author = {Zheng Wang and Zhigang Huang},
title = {Limiting directions of {Julia} sets of entire solutions of complex difference equations},
journal = {Filomat},
pages = {3745 },
year = {2022},
volume = {36},
number = {11},
doi = {10.2298/FIL2211745W},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2211745W/}
}
TY - JOUR AU - Zheng Wang AU - Zhigang Huang TI - Limiting directions of Julia sets of entire solutions of complex difference equations JO - Filomat PY - 2022 SP - 3745 VL - 36 IS - 11 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2211745W/ DO - 10.2298/FIL2211745W LA - en ID - 10_2298_FIL2211745W ER -
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