Ebook: Asymptotic Characteristics of Entire Functions and Their Applications in Mathematics and Biophysics
Author: L. S. Maergoiz (auth.)
- Tags: Functions of a Complex Variable, Several Complex Variables and Analytic Spaces, Real Functions, Integral Transforms Operational Calculus, Functional Analysis
- Series: Mathematics and Its Applications 559
- Year: 2003
- Publisher: Springer Netherlands
- Edition: 2
- Language: English
- pdf
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.
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.
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.
Content:
Front Matter....Pages i-xxiv
Preliminaries....Pages 1-50
A Method of Identifying Homeostasis Relaxation Characteristics....Pages 51-83
Indicator Diagram of an Entire Function of One Variable with Nonnegative Indicator....Pages 84-101
Plane Indicator Diagram of an Entire Function of Order ? > 0 and with Indicator of General Form....Pages 102-170
Spaces of Entire Functions of Order ? > 0 with Restrictions on the Indicator....Pages 171-193
Geometrical Analysis of Asymptotics of Functions Plurisubharmonic in ? n ....Pages 194-219
Growth Characteristics (Orders, Types) of Entire Functions of Several Variables, and Their Applications....Pages 220-240
Indicator Diagram of an Entire Function of Several Variables with Nonnegative Indicator....Pages 241-261
Back Matter....Pages 262-362
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.
Content:
Front Matter....Pages i-xxiv
Preliminaries....Pages 1-50
A Method of Identifying Homeostasis Relaxation Characteristics....Pages 51-83
Indicator Diagram of an Entire Function of One Variable with Nonnegative Indicator....Pages 84-101
Plane Indicator Diagram of an Entire Function of Order ? > 0 and with Indicator of General Form....Pages 102-170
Spaces of Entire Functions of Order ? > 0 with Restrictions on the Indicator....Pages 171-193
Geometrical Analysis of Asymptotics of Functions Plurisubharmonic in ? n ....Pages 194-219
Growth Characteristics (Orders, Types) of Entire Functions of Several Variables, and Their Applications....Pages 220-240
Indicator Diagram of an Entire Function of Several Variables with Nonnegative Indicator....Pages 241-261
Back Matter....Pages 262-362
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