Entire Slice Regular Functions

Authors: Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa



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

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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