Linearization models for discrete and continuous time dynamical systems are the driving
forces for modern geometric function theory and composition operator theory on function …

Abstract The Schwarz Lemma has given impetus to developments in several areas of
complex analysis and mathematics in general. We survey some investigations related to its …

This paper is a survey of results involving the Schwarzian derivative and depending on the
geometry of the image of a domain under a holomorphic map. The author's results obtained …

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We obtain a generalization of the Burns-Krantz rigidity theorem for holomorphic self-
mappings of the unit disk in the spirit of the classical Schwarz-Pick Lemma and its …

In this paper we establish several invariant boundary versions of the (infinitesimal) Schwarz-
Pick lemma for conformal pseudometrics on the unit disk and for holomorphic selfmaps of …

In this paper we survey a series of recent developments in the theory of functions of a
hypercomplex variable. The central idea underlying these developments consists in …

Abstract The classical Julia–Wolff–Carathéodory theorem asserts that the angular derivative
of a holomorphic self-mapping of the open unit disk (Schur function) at its boundary fixed …

In this paper we deal with second angular derivatives at Denjoy-Wolff points for parabolic
functions in the unit disc. Namely, we study and analyze the existence and the dynamical …

One-parameter semigroups of holomorphic functions appear naturally in various
applications of Complex Analysis, and in particular, in the theory of (temporally) …