Entire Slice Regular Functions

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis
Cover of the book Entire Slice Regular Functions by Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa, Springer International Publishing
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Author: Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa ISBN: 9783319492650
Publisher: Springer International Publishing Publication: December 8, 2016
Imprint: Springer Language: English
Author: Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa
ISBN: 9783319492650
Publisher: Springer International Publishing
Publication: December 8, 2016
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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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