02737nam 22005055 450 991015544570332120251002143438.03-319-49265-910.1007/978-3-319-49265-0(CKB)4340000000024312(DE-He213)978-3-319-49265-0(MiAaPQ)EBC4767200(PPN)197456340(EXLCZ)99434000000002431220161208d2016 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierEntire Slice Regular Functions /by Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa1st ed. 2016.Cham :Springer International Publishing :Imprint: Springer,2016.1 online resource (V, 118 p.)SpringerBriefs in Mathematics,2191-82013-319-49264-0 Includes bibliographical references and index.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.SpringerBriefs in Mathematics,2191-8201Functions of complex variablesFunctions of a Complex VariableFunctions of complex variables.Functions of a Complex Variable.515Colombo Fabrizioauthttp://id.loc.gov/vocabulary/relators/aut511074Sabadini Ireneauthttp://id.loc.gov/vocabulary/relators/autStruppa Daniele Cauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910155445703321Entire Slice Regular Functions2106910UNINA