Geometric Function Theory and Related Topics

Sudeb Mitra, Rakesh Kumar Parmar, Saminathan Ponnusamy, Toshiyuki Sugawa

• Publisher: American Mathematical Society
• Year: 2025
• Topic: Mathematics
• Subtopic: Mathematics General
• eBook ISBN:
  9781470479459
• Index: Mathematics

This volume contains the proceedings of the 29th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, held August 21–25, 2023, at Pondicherry University, Puducherry, India. It covers a wide range of papers on complex analysis and provides a broad survey of the present state of research in various aspects of geometric function theory. The papers in this volume reflect the directions of research in different areas of finite- and infinite-dimensional complex analysis and also give the reader an idea of how these branches of complex analysis intersect with other areas of mathematics. They will be suitable for specialists as well as aspiring researchers who are interested in various areas of geometric function theory.

Table of contents

• Cover
• Title page
• Contents
• Preface
• Paths of analytic circle diffeomorphisms
• Certain subclass of harmonic functions associated with univalent functions
• Some geometrical applications of tame quasiconformal motions
• On compositions of quaternionic Möbius transformations
• Tameness conditions in complex dynamics and in quasiconformal motions
• Holomorphic motions and related topics –A brief survey
• On generalized extended Voigt-type function and associated bounds
• Generalized multiple Mordell–Tornheim zeta function, related integral forms, bounds and inequalities
• On distribution of Rice–Middleton model II. Srivastava–Daoust 𝒮 function approach
• Modified Bohr phenomena for some classes of functions
• Geometry of stereographic (type) projections I
• Some results on a subclass of analytic univalent functions
• Mathematical approach to the theory of topological insulators
• On the Dirichlet-to-Neumann map for the 𝑝-Laplacian on a metric measure space
• Becker–Pommerenke type inequalities and domains of univalence
• Quasiconformal distortion of hyperbolic distances
• Harmonic quasiconformal mappings, Ahlfors regular and Bishop-Jones domains
• Dynamical behavior of meromorphic solutions for certain complex difference equations
• Back Cover