Subject: Q Science (General)
Year: 2018
Type: Article
Type: NonPeerReviewed
Title: A note on the cluster sets of interpolating Blaschke products
Author: Lleshi, Ferzije
Author: Rasimi, Krutan
Author: Iseni, Egzona
Abstract: In this paper we are going to represent Blaschkeproducts, where Blaschke product with zero sequence in the open unit disk is a function of the form , where satisfy . In this research we are going to analyze specifically interpolating Blaschke product, for which the zero sequence is an interpolating sequence and notes about radial cluster set. In the second part we are going to show the existence of interpolating Blaschke products that have intervals a radial cluster set, but the main result of this research is that there does not exist an interpolating Blaschke product having [0, y] or [x, 0] as a radial cluster set. On the other hand, there does not exist an interpolating Blaschke product with [0, 1] as radial clusterset
Publisher: Faculty of Natural Sciences and Mathematics
Relation: https://eprints.unite.edu.mk/162/
Identifier: oai:eprints.unite.edu.mk:162
Identifier: https://eprints.unite.edu.mk/162/1/29.pdfIdentifier: Lleshi, Ferzije and Rasimi, Krutan and Iseni, Egzona (2018) A note on the cluster sets of interpolating Blaschke products. Journal of Natural Sciences and Mathematics of UT, 3 (5-6). pp. 196-202. ISSN 2671-3039
