Domínguez Soto, PatriciaDOMINGUEZ SOTO, PATRICIA; 16010Vázquez Rodríguez, Josué2023-03-142023-03-142020-05https://hdl.handle.net/20.500.12371/17787"In this thesis we investigate a family of transcendental meromorphic functionswith one not omitted pole and two parameters. We study the behavior of the familyunder certain assumptions on the parameters and the pole. A definition of a slice ofthe parameter space is given and some examples of approximations of the Fatou andJulia sets are shown. Moreover, some results related with the residual Julia set fortranscendental meromorphic functions are given when the Fatou set has ap−cycle ofHerman rings."pdfspaCIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRASuperficies de RiemannFunciones holomorfasTeoría de conjuntosTopologíaFunciones analíticasTesis de doctoradoopenAccess