Analytic Function Theory of One Complex Variable
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Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > Functional analysis and transforms > Analytic Function Theory of One Complex Variable: (212 Pitman Research Notes in Mathematics Series)
Analytic Function Theory of One Complex Variable: (212 Pitman Research Notes in Mathematics Series)

Analytic Function Theory of One Complex Variable: (212 Pitman Research Notes in Mathematics Series)


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About the Book

The articles presented in this volume include a representative cross section of current research trends and recent contributions by Japanese mathematicians working in complex analysis. The contents consist of expository surveys, surveys with new results as well as original research papers on diverse topics written by respected authors. Topics covered include univalent functions, meromorphic functions, Kleinian groups, and Riemann surfaces. This book should be an excellent reference source for those interested in keeping abreast of developments in complex analysis in Japan. It is aimed at pure and applied mathematicians; civil, electrical, control, mechanical and aerospace engineers, and fluid dynamics physicists and geophysicists, with a knowledge of real and complex variables.

Table of Contents:
On a class of Riemann surfaces characterized by period reproducing differentials, Naondo Jin and Yukio Kusunoki; Weierstrass points on trigonal Riemann surfaces, Takao Kato; on subordination for BMOA, Shoji Kobayashi; distortion properties of integral operators related to fractional calculus, Yusaku Komatu; a coefficient inequality for meromorphic univalent functions, Yoshihisa Kubota; an inclusion lattice of automorphism groups of compact Riemann surfaces of genus 5, Akikazu Kuribayashi and Hideyuki Kimura; variational formulas under quasiconformal deformation, Fumio Maitani; meromorphic functions with a perfect set as the set of singularities, Kikuji Matsumoto and Toshiko Kurokawa; gap series, Takafumi Murai; on the Myrberg type phenomenon, Mikihiro Hayashi and Mitsuru Nakai; meromorphic solutions of some polynomial difference equations, Yoshikuni Nakamura and Niro Yanagihara; zeros of certain differential polynomials, Mitsuru Ozawa; surveys of analytic mappings between two Riemann surfaces, Mitsuru Ozawa and Kiyoshi Niino; interpolation problems of Pick-Nevanlinna type, Saburou Saitoh; discreteness of real two-generator free groups, Hiroki Sato; conformal embeddings of an open Riemann surface into closed surfaces of the same genus, Masakazu Shiba; Dirichlet principle and the analytic prolongation theorem onto analytic boundary, Keiichi Shibata; on a distortion theorem of the logarithmic capacity, Nobuyuki Suita; pinching deformation of arbitrary Riemann surfaces and variational formulas for abelian differentials, Masahiko Taniguchi; on algebroid solutions of some algebraic differential equations, Nobushige Toda and Masakimi Kato; some advances in the theory of factorization of entire or meromorphic functions, Hironobu Urabe; polynomial difference equations which have meromorphic solutions of finite order, Niro Yanagihara.


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Product Details
  • ISBN-13: 9780582037809
  • Publisher: Longman
  • Publisher Imprint: Longman Higher Education
  • Height: 244 mm
  • Weight: 724 gr
  • ISBN-10: 0582037808
  • Publisher Date: /09/1989
  • Binding: Paperback
  • Series Title: 212 Pitman Research Notes in Mathematics Series
  • Width: 169 mm


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Analytic Function Theory of One Complex Variable: (212 Pitman Research Notes in Mathematics Series)
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