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

2. revised and enlarged Auflage 2003
ISBN: 978-1-4020-1462-8
Verlag: Springer Netherlands

Buch, Englisch, 362 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 746 g

Reihe: Mathematics and Its Applications

This revised and enlarged second edition is devoted to asymptotical questions of the theory of entire and plurisubharmonic functions. A separate chapter deals with applications in biophysics. The book is of interest to research specialists in theoretical and applied mathematics, postgraduates and students who are interested in complex and real analysis and its applications.

Zielgruppe

Research specialists in theoretical and applied mathematics; postgraduates and students

Autoren/Hrsg.

Maergoiz, L. S.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis

Inhaltsverzeichnis

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.