Entire Slice Regular Functions
Authors: Colombo, Fabrizio, Sabadini, Irene, Struppa, Daniele C.
Free Preview- Presents new results and advances in (hyper) complex analysis
- Introduces the theory of entire functions of a quaternionic variable
- Supports and promotes further research by offering a rich and representative collection of references
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- About this book
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This Briefs volume develops the theory of entire slice regular functions. It is the first self-contained, monographic work on the subject, offering all the necessary background information and detailed studies on several central topics, including estimates on the minimum modulus of regular functions, relations between Taylor coefficients and the growth of entire functions, density of their zeros, and the universality properties. The proofs presented here shed new light on the nature of the quaternionic setting and provide inspiration for further research directions.
Also featuring an exhaustive reference list, the book offers a valuable resource for graduate students, postgraduate students and researchers in various areas of mathematical analysis, in particular hypercomplex analysis and approximation theory.
- Table of contents (5 chapters)
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Introduction
Pages 1-5
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Slice Regular Functions: Algebra
Pages 7-30
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Slice Regular Functions: Analysis
Pages 31-54
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Slice Regular Infinite Products
Pages 55-76
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Growth of Entire Slice Regular Functions
Pages 77-108
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Table of contents (5 chapters)
- Download Sample pages 2 PDF (223.2 KB)
- Download Table of contents PDF (68.2 KB)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Entire Slice Regular Functions
- Authors
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- Fabrizio Colombo
- Irene Sabadini
- Daniele C. Struppa
- Series Title
- SpringerBriefs in Mathematics
- Copyright
- 2016
- Publisher
- Springer International Publishing
- Copyright Holder
- The Author(s)
- eBook ISBN
- 978-3-319-49265-0
- DOI
- 10.1007/978-3-319-49265-0
- Softcover ISBN
- 978-3-319-49264-3
- Series ISSN
- 2191-8198
- Edition Number
- 1
- Number of Pages
- V, 118
- Topics
