Open AccessON THE BOUNDARY OF CONVEXITY OF UNIVALENT FUNCTIONS CLASS IN HALF‐PLANE
Author(s) -
Jevgenijus Kirjackis
Publication year - 2002
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.2002.9637180
Subject(s) - convexity , univalent function , plane (geometry) , mathematics , regular polygon , boundary (topology) , class (philosophy) , domain (mathematical analysis) , radius , mathematical analysis , function (biology) , convex function , convex domain , geometry , pure mathematics , analytic function , computer science , computer security , evolutionary biology , biology , artificial intelligence , financial economics , economics
In this article we establish the maximum radius of the disc which any univalent in the half‐plane function maps onto a convex domain.