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Entire Slice Regular Functions
ISBN-13:
9783319492650
Veröffentl:
2016
Seiten:
118
Autor:
Fabrizio Colombo
Serie:
SpringerBriefs in Mathematics
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
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.
1. Introduction.- 2.Slice Regular Functions: Algebra.- 3.Slice Regular Functions: Analysis.- 4.Slice Regular Infinite Products.- 5.Growth of Entire Slice Regular Functions.- 6.References.- Index.
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