Open AccessOn coefficient inequalities of certain subclasses of bi-univalent functions involving the Sălăgean operator
Author(s) -
B Amol Patil,
H Uday Naik
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2104305p
Subject(s) - mathematics , analytic function , unit disk , operator (biology) , pure mathematics , function (biology) , class (philosophy) , univalent function , derivative (finance) , unit (ring theory) , combinatorics , discrete mathematics , mathematics education , biochemistry , chemistry , repressor , evolutionary biology , artificial intelligence , biology , computer science , transcription factor , financial economics , economics , gene
In the present investigation, with motivation from the pioneering work of Srivastava et al. [28], which in recent years actually revived the study of analytic and bi-univalent functions, we introduce the subclasses T*?(n,?) and T?(n,?) of analytic and bi-univalent function class ? defined in the open unit disk U = {z ? C : |z| < 1g and involving the S?l?gean derivative operator Dn. Moreover, we derive estimates on the initial coefficients |a2| and |a3| for functions in these subclasses and pointed out connections with some earlier known results.