Open AccessOn functions convex in the direction of the imaginary axis with real coefficients
Author(s) -
Leopold Koczan,
Magda Sobczak-Kneć,
Paweł Zaprawa
Publication year - 2010
Publication title -
demonstratio mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.541
H-Index - 28
eISSN - 2391-4661
pISSN - 0420-1213
DOI - 10.1515/dema-2013-0263
Subject(s) - mathematics , the imaginary , regular polygon , domain (mathematical analysis) , class (philosophy) , pure mathematics , convex function , effective domain , mathematical analysis , convex optimization , convex analysis , geometry , computer science , artificial intelligence , psychology , psychotherapist
Let In this paper we determine the Koebe domain and the covering domain as well as the minorant and the majorant for the class consisting of functions convex in the direction of the imaginary axis with real coefficients.