Open AccessUnivalency of general integral operator defined by Schwarz functions
Author(s) -
B. A. Frasin
Publication year - 2013
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2013.02.001
Subject(s) - mathematics , operator (biology) , unit disk , unit (ring theory) , pure mathematics , discrete mathematics , mathematics education , biochemistry , chemistry , repressor , transcription factor , gene
In this paper, we obtain new univalence conditions for the integral operator Wβ(z)=β∫0ztβ-1∏i=1n(1+wi(t))γiexp∑i=1nγiwi(t)dt1β, where wi(t) are Schwarz functions defined in the open unit disk. Our main results contain some interesting corollaries as special cases