
Coefficients assessment for certain subclasses of bi-univalent functions related with quasi-subordination
Author(s) -
Sibel Yalçın,
Waggas Galib Atshan,
Haneen Zaghir Hassan
Publication year - 2020
Publication title -
publications de l'institut mathématique
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.246
H-Index - 17
eISSN - 1820-7405
pISSN - 0350-1302
DOI - 10.2298/pim2022155y
Subject(s) - subordination (linguistics) , univalent function , class (philosophy) , function (biology) , mathematics , pure mathematics , unit disk , analytic function , unit (ring theory) , computer science , artificial intelligence , philosophy , linguistics , evolutionary biology , biology , mathematics education
We investigate specific new subclasses of the function class ? of bi-univalent function defined in the open unit disc, which is connected with quasi-subordination. We find estimates on the Taylor-Maclaurin coefficients |a2| and |a3| for functions in these subclasses. Already pointed out are some documented and new implications of those findings.