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.
General
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