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.
- ISBN13 9783319492643
- Publish Date 15 December 2016
- Publish Status Active
- Publish Country CH
- Imprint Springer International Publishing AG
- Edition 1st ed. 2016
- Format Paperback
- Pages 118
- Language English