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Univalent Functions

A Primer

Derek K. Thomas, Nikola Tuneski, Allu Vasudevarao (Autoren)

Buch | Hardcover

XIII, 252 Seiten

2018
De Gruyter (Verlag)
978-3-11-056009-1 (ISBN)

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The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics.While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.

The study of univalent functions dates back to the early years of the 20th century, and is one of the most popular research areas in complex analysis. This book is directed at introducing and bringing up to date current research in the area of univalent functions, with an emphasis on the important subclasses, thus providing an accessible resource suitable for both beginning and experienced researchers. Contents Univalent Functions – the Elementary Theory Definitions of Major Subclasses Fundamental Lemmas Starlike and Convex Functions Starlike and Convex Functions of Order α Strongly Starlike and Convex Functions Alpha-Convex Functions Gamma-Starlike Functions Close-to-Convex Functions Bazilevič Functions B1(α) Bazilevič Functions The Class U(λ) Convolutions Meromorphic Univalent Functions Loewner Theory Other Topics Open Problems

D. K. Thomas, Swansea Univ., UK; N. Tuneski, Ss. Cyril and Methodius Univ. in Skopje, Macedonia; A. Vasudevarao, IIT Khagapur, India

"The book is a signi cant addition to the study of univalent functions, and will be particularly useful to those with an interest in subclasses."
Teodor Bulboaca in: Studia Universitatis Babes-Bolyai, Mathematica 64.1 (2019), 133-134

Erscheinungsdatum	17.04.2018
Reihe/Serie	De Gruyter Studies in Mathematics ; 69
Verlagsort	Berlin/Boston
Sprache	englisch
Maße	170 x 240 mm
Gewicht	1 g
Themenwelt	Mathematik / Informatik ► Mathematik
Themenwelt	Technik ► Fahrzeugbau / Schiffbau
Schlagworte	Funktionentheorie • Konvexe Funktion • Meromorphe Funktion • Schlichte Funktion
ISBN-10	3-11-056009-7 / 3110560097
ISBN-13	978-3-11-056009-1 / 9783110560091
Zustand	Neuware