On convolution, convex, and starlike mappings

Simple item page
dc.contributor.authorChuaqui, Martin
dc.contributor.authorOsgood, Brad
dc.date.accessioned2025-01-20T21:05:44Z
dc.date.available2025-01-20T21:05:44Z
dc.date.issued2022
dc.description.abstractLet C and S* stand for the classes of convex and starlike mapping in D, and let <(co(C))over bar>, <(co(S*))over bar> denote the closures of the respective convex hulls. We derive characterizations for when the convolution of mappings in <(co(C))over bar> is convex, as well as when the convolution of mappings in <(co(S*))over bar> is starlike. Several characterizations in terms of convolution are given for convexity within <(co(C))over bar> and for starlikeness within <(co(S*))over bar>. We also obtain a correspondence via convolution between C and S*, as well as correspondences between the subclasses of convex and starlike mappings that have n-fold symmetry.
dc.description.funderFondecyt
dc.fuente.origenWOS
dc.identifier.doi10.24193/subbmath.2022.2.17
dc.identifier.eissn2065-961X
dc.identifier.issn0252-1938
dc.identifier.urihttps://doi.org/10.24193/subbmath.2022.2.17
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/93318
dc.identifier.wosidWOS:000810067300018
dc.issue.numero2
dc.language.isoen
dc.pagina.final440
dc.pagina.inicio431
dc.revistaStudia universitatis babes-bolyai mathematica
dc.rightsacceso restringido
dc.subjectConvolution
dc.subjectconvex mapping
dc.subjectstarlike mapping
dc.subjectconvex polygon
dc.subjectslit mapping
dc.subjectPOlya-Schoenberg conjecture
dc.titleOn convolution, convex, and starlike mappings
dc.typeartículo
dc.volumen67
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
Files
Collections
Artículos de revistas