Estimates on initial coefficients of certain subclasses of bi-univalent functions associated with quasi-subordination | Zendy

Amol B. Patil | Zendy; Uday H. Naik | Zendy

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Estimates 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.

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