A note on the cluster sets of interpolating Blaschke products

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

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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

Item Type:	Article
Subjects:	Q Science > Q Science (General)
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	Unnamed user with email zshi@unite.edu.mk
Date Deposited:	05 Jun 2019 08:34
Last Modified:	05 Jun 2019 08:34
URI:	http://eprints.unite.edu.mk/id/eprint/162

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