ENGLISH

Entire Slice Regular Functions

By Irene Sabadini , Fabrizio Colombo , Daniele C. Struppa (auth.)

Book information

Publisher
Springer International Publishing
Year
2016
ISBN
978-3-319-49264-3, 978-3-319-49265-0
DOI
10.1007/978-3-319-49265-0
Language
english
Format
PDF
Filesize
1 MB (1413670 bytes)
Series
SpringerBriefs in Mathematics
Edition
1
Pages
V, 118\121
Time added
2016-12-28 02:00:00
Functions of a Complex Variable

Description

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.

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