Mathematics and Its Applications

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

Authors: Maergoiz, Lev

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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.

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $129.00
price for USA in USD
  • ISBN 978-94-017-0807-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover $169.99
price for USA in USD
Softcover $169.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Asymptotic Characteristics of Entire Functions and Their Applications in Mathematics and Biophysics
Authors
Series Title
Mathematics and Its Applications
Series Volume
559
Copyright
2003
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-017-0807-4
DOI
10.1007/978-94-017-0807-4
Hardcover ISBN
978-1-4020-1462-8
Softcover ISBN
978-90-481-6360-1
Edition Number
2
Number of Pages
XXIV, 362
Topics