Overview
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)
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Table of contents (5 chapters)
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Entire Slice Regular Functions
Authors: Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa
Series Title: SpringerBriefs in Mathematics
DOI: https://doi.org/10.1007/978-3-319-49265-0
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s) 2016
Softcover ISBN: 978-3-319-49264-3Published: 15 December 2016
eBook ISBN: 978-3-319-49265-0Published: 08 December 2016
Series ISSN: 2191-8198
Series E-ISSN: 2191-8201
Edition Number: 1
Number of Pages: V, 118
Topics: Functions of a Complex Variable