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Asymptotic Characteristics of Entire Functions and Their Applications in Mathematics and Biophysics

  • L. S. Maergoiz

Part of the Mathematics and Its Applications book series (MAIA, volume 559)

About this book

Introduction

Asymptotic Characteristics of Entire Functions and Their Applications in Mathematics and Biophysics is the second edition of the same book in Russian, revised and enlarged. It is devoted to asymptotical questions of the theory of entire and plurisubharmonic functions. The new and traditional asymptotical characteristics of entire functions of one and many variables are studied. Applications of these indices in different fields of complex analysis are considered, for example Borel-Laplace transformations and their modifications, Mittag-Leffler function and its natural generalizations, integral methods of summation of power series and Riemann surfaces.

In the second edition, a new appendix is devoted to the consideration of those questions for a class of entire functions of proximate order. A separate chapter is devoted to applications in biophysics, where the algorithms of mathematical analysis of homeostasis system behaviour, dynamics under external influence are investigated, which may be used in different fields of natural science and technique.

This book is of interest to research specialists in theoretical and applied mathematics, postgraduates and students of universities who are interested in complex and real analysis and its applications.

Keywords

Complex analysis Meromorphic function Nevanlinna theory Riemann surfaces real analysis

Authors and affiliations

  • L. S. Maergoiz
    • 1
  1. 1.Institute of Computational ModellingThe Krasnoyarsk State Academy of Architecture and Civil EngineeringKrasnoyarskRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-017-0807-4
  • Copyright Information Springer Science+Business Media B.V. 2003
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-6360-1
  • Online ISBN 978-94-017-0807-4
  • Buy this book on publisher's site