Entire Slice Regular Functions (SpringerBriefs in Mathematics) by Fabrizio Colombo
English | 21 Dec. 2016 | ISBN: 3319492640 | 126 Pages | PDF | 1.35 MB
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.