Overview

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.

Full Product Details

Author:   L.S. Maergoiz
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 2nd ed. 2003
Volume:   559
Dimensions:   Width: 15.50cm , Height: 2.30cm , Length: 23.50cm
Weight:   0.616kg
ISBN:  

9789048163601

ISBN 10:   9048163609
Pages:   362
Publication Date:   25 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

1 Preliminary.- 2 A Method of Identifying Homeostasis Relaxation Characteristics.- 3 Indicator Diagram of an Entire Function of One Variable with Nonnegative Indicator.- 4 Plane Indicator Diagram of Entire Function of Order ? > 0 with the Indicator of General Form.- 5 Spaces of Entire Functions of Order ? > 0 with Restrictions on the indicator.- 6 Geometrical Analysis of Asymptotics of Functions Plurisubgarmonic in ?n.- 7 Growth Characteristics of Entire Functions (Orders, Types) and Their Applications.- 8 Indicator Diagram of an Entire Function of Several Variables with Nonnegative Indicator.- Appendix A Riemann Surface of the Inverse Function for a Polynomial of Fractional Order.- A.1 Some topological information.- A.2 Construction of the Riemann surface in question and its properties.- Appendix B Indicator and Conjugate Diagrams of Entire Function of a Given Proximate Order.- B.1 Necessary information about proximate orders. Indicator diagram.- B.2 Analytic proximate orders and associated functions.- B.3 Entire functions associated with an analytic proximate order.- B.4 Entire function of a given proximate order and with nonnegative indicator.- B.5 Analytic proximate orders generated by entire or meromorphic functions.- B.6 Applications of the preceding results.- Comments.- References to Chapters 1, 3–8.- References to Chapter 2.- Notation.

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions