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Iterating a complex analytic map gives rise to a discrete conformal dynamical system. The theory of these dynamical systems was first introduced by Fatou and Julia in the 1920's. Interest in this subject has grown due to the graphics capabilities of computers and to the infusion of techniques from the theory of quasi-conformal mapping from the work of Sullivan, Douady, Hubbard, and many others. In [51], Devaney and Keen began the development of an iteration theory for meromorphic functions. They studied the class of meromorphic functions with polynomial Schwarzian derivatives. This book study the dynamics of a particular class of these meromorphic functions, the family F: z tan z^2 where C - {0}.
About the author
Santanu Nandi did his Ph.D. in Mathematics from the City University of New York, USA. He joined ICFAI University, Tripura as an Assistant Professor in 2021. He worked as an Assistant Professor at the Concord University, the USA, and as a Visiting Assistant Professor at the University of Toledo, the USA from 2018 to 2020.
