The problems of $n$-valence in some classes of analytic functions

Magdalena Sobczak-Kneć, Katarzyna Trąbka-Więcław

Type: Article

Publication Date: 2014-08-01

Citations: 1

DOI: https://doi.org/10.36045/bbms/1407765883

Abstract

In this paper we determine some examples of the domains of $n$-valence for functions which are analytic with classical normalization and locally univalent. This problem has not been studied yet. It seems to be rather difficult. We formulate a few conjectures concerning some subclasses of typically real functions and odd typically real functions.

Locations

Bulletin of the Belgian Mathematical Society - Simon Stevin - View
Project Euclid (Cornell University) - View - PDF

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Works That Cite This (1)

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+ PDF Chat	Sets of Univalence in Some Classes of Analytic Functions	2017	Leopold Koczan Katarzyna Trąbka-Więcław

Works Cited by This (3)

Action	Title	Year	Authors
+	Domains of Univalence for Typically-real Odd Functions	2003	Leopold Koczan Paweł Zaprawa
+ PDF Chat	Typically-Real Functions	1959	Richard K. Brown
+ PDF Chat	The Domain Covered by a Typically-Real Function	1977	A. W. Goodman