Entire Slice Regular Functions

✍ Scribed by Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa (auth.)

• Publisher: Springer International Publishing
• Year: 2016
• Tongue: English
• Leaves: 121
• Series: SpringerBriefs in Mathematics
• Edition: 1
• Category: Library

✦ Synopsis

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

Front Matter....Pages i-v
Introduction....Pages 1-5
Slice Regular Functions: Algebra....Pages 7-30
Slice Regular Functions: Analysis....Pages 31-54
Slice Regular Infinite Products....Pages 55-76
Growth of Entire Slice Regular Functions....Pages 77-108
Back Matter....Pages 109-118

✦ Subjects

Functions of a Complex Variable