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Table of contents (8 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Asymptotic Characteristics of Entire Functions and Their Applications in Mathematics and Biophysics
Authors: L. S. Maergoiz
Series Title: Mathematics and Its Applications
DOI: https://doi.org/10.1007/978-94-017-0807-4
Publisher: Springer Dordrecht
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media Dordrecht 2003
Hardcover ISBN: 978-1-4020-1462-8Published: 31 August 2003
Softcover ISBN: 978-90-481-6360-1Published: 25 December 2010
eBook ISBN: 978-94-017-0807-4Published: 17 April 2013
Edition Number: 2
Number of Pages: XXIV, 362
Topics: Functions of a Complex Variable, Several Complex Variables and Analytic Spaces, Real Functions, Integral Transforms, Operational Calculus, Functional Analysis