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＜電子ブック＞
Entire Slice Regular Functions / by Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa
(SpringerBriefs in Mathematics. ISSN:21918201)

版	1st ed. 2016.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2016
本文言語	英語
大きさ	V, 118 p : online resource
著者標目	*Colombo, Fabrizio author Sabadini, Irene author Struppa, Daniele C author SpringerLink (Online service)
件　名	LCSH:Functions of complex variables FREE:Functions of a Complex Variable
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-319-49265-0

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