Harmonic Quasiconformal Mappings And Hyperbolic Type Metrics
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Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics
The book presents a research area in geometric function theory concerned with harmonic quasiconformal mappings and hyperbolic type metrics defined on planar and multidimensional domains. The classes of quasiconformal and quasiregular mappings are well established areas of study in this field as these classes are natural and fruitful generalizations of the class of analytic functions in the planar case. The book contains many concrete examples, as well as detailed proofs and explanations of motivations behind given results, gradually bringing the reader to the forefront of current research in the area. This monograph was written for a wide readership from graduate students of mathematical analysis to researchers working in this or related areas of mathematics who want to learn the tools or work on open problems listed in various parts of the book.
Geometric Function Theory and Related Topics
Author: Sudeb Mitra
language: en
Publisher: American Mathematical Society
Release Date: 2025-06-03
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.
Graph-Theoretic Problems and Their New Applications
Graph theory is an important area of applied mathematics with a broad spectrum of applications in many fields. This book results from aSpecialIssue in the journal Mathematics entitled “Graph-Theoretic Problems and Their New Applications”. It contains 20 articles covering a broad spectrum of graph-theoretic works that were selected from 151 submitted papers after a thorough refereeing process. Among others, it includes a deep survey on mixed graphs and their use for solutions ti scheduling problems. Other subjects include topological indices, domination numbers of graphs, domination games, contraction mappings, and neutrosophic graphs. Several applications of graph theory are discussed, e.g., the use of graph theory in the context of molecular processes.