LEADER 02737nam 22005055 450 001 9910155445703321 005 20251002143438.0 010 $a3-319-49265-9 024 7 $a10.1007/978-3-319-49265-0 035 $a(CKB)4340000000024312 035 $a(DE-He213)978-3-319-49265-0 035 $a(MiAaPQ)EBC4767200 035 $a(PPN)197456340 035 $a(EXLCZ)994340000000024312 100 $a20161208d2016 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aEntire Slice Regular Functions /$fby Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (V, 118 p.) 225 1 $aSpringerBriefs in Mathematics,$x2191-8201 311 08$a3-319-49264-0 320 $aIncludes bibliographical references and index. 327 $a1. 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. 330 $aThis Briefs volume develops the theory of entire slice regular functions. It is the first self-contained, monographic work on the subject, offering all the necessary background information and detailed studies on several central topics, including estimates on the minimum modulus of regular functions, relations between Taylor coefficients and the growth of entire functions, density of their zeros, and the universality properties. The proofs presented here shed new light on the nature of the quaternionic setting and provide inspiration for further research directions. Also featuring an exhaustive reference list, the book offers a valuable resource for graduate students, postgraduate students and researchers in various areas of mathematical analysis, in particular hypercomplex analysis and approximation theory. 410 0$aSpringerBriefs in Mathematics,$x2191-8201 606 $aFunctions of complex variables 606 $aFunctions of a Complex Variable 615 0$aFunctions of complex variables. 615 14$aFunctions of a Complex Variable. 676 $a515 700 $aColombo$b Fabrizio$4aut$4http://id.loc.gov/vocabulary/relators/aut$0511074 702 $aSabadini$b Irene$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aStruppa$b Daniele C$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910155445703321 996 $aEntire Slice Regular Functions$92106910 997 $aUNINA