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Entire Slice Regular Functions
~
Struppa, Daniele C.
Entire Slice Regular Functions
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Entire Slice Regular Functions/ by Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa.
Author:
Colombo, Fabrizio.
other author:
Sabadini, Irene.
Description:
V, 118 p.online resource. :
Contained By:
Springer Nature eBook
Subject:
Functions of complex variables. -
Online resource:
https://doi.org/10.1007/978-3-319-49265-0
ISBN:
9783319492650
Entire Slice Regular Functions
Colombo, Fabrizio.
Entire Slice Regular Functions
[electronic resource] /by Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa. - 1st ed. 2016. - V, 118 p.online resource. - SpringerBriefs in Mathematics,2191-8198. - SpringerBriefs in Mathematics,.
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.
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.
ISBN: 9783319492650
Standard No.: 10.1007/978-3-319-49265-0doiSubjects--Topical Terms:
528649
Functions of complex variables.
LC Class. No.: QA331-355
Dewey Class. No.: 515.9
Entire Slice Regular Functions
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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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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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