Jarque i Ribera, XavierFı́guls Sangrà, Judit2022-10-072022-10-072022-06-13https://hdl.handle.net/2445/189647Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Xavier Jarque i Ribera[en] In this report we will study discrete dynamical systems that come of the iteration of holomorphic functions in the complex plane. In fact, we will focus on polynomial and transcendental entire functions. We will study the points that under iteration have orbits tending to infinity. This set is called the escaping set and it’s been studied at length in this paper.46 p.application/pdfcatcc-by-nc-nd (c) Judit Fı́guls Sangrà, 2022http://creativecommons.org/licenses/by-nc-nd/3.0/es/Sistemes dinàmics complexosTreballs de fi de grauTeoria geomètrica de funcionsEquacions funcionalsComplex dynamical systemsBachelor's thesesGeometric function theoryFunctional equationsinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess