Open AccessEstimates on initial coefficients of certain subclasses of bi-univalent functions associated with quasi-subordination
Author(s) -
Amol B. Patil,
Uday H. Naik
Publication year - 2016
Publication title -
global journal of mathematical analysis
Language(s) - English
Resource type - Journals
ISSN - 2307-9002
DOI - 10.14419/gjma.v5i1.6959
Subject(s) - subordination (linguistics) , unit disk , mathematics , connection (principal bundle) , class (philosophy) , pure mathematics , univalent function , function (biology) , unit (ring theory) , analytic function , computer science , geometry , philosophy , linguistics , artificial intelligence , evolutionary biology , biology , mathematics education
v In the present investigation we introduce some subclasses of the function class ∑ of bi-univalent functions defined in the open unit disk U, which are associated with the quasi-subordination. We obtain the estimates on initial coefficients |a2| and |a3| for the functions in these subclasses. Also several related subclasses are considered and connection with some known results are established.