TY - JOUR
ID - 34894
TI - Certain Inequalities for a General Class of Analytic and Bi-univalent Functions
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Akgul, Arzu
AD - Department of Mathematics, Faculty of Arts and Science, Kocaeli University, Kocaeli, Turkey.
Y1 - 2019
PY - 2019
VL - 14
IS - 1
SP - 1
EP - 13
KW - Analytic functions
KW - Biunivalent functions
KW - Coefficient bounds and coefficient estimates
KW - Taylor-Maclaurin coefficients
DO - 10.22130/scma.2018.70945.277
N2 - In this work, the subclass of the function class S of analytic and bi-univalent functions is defined and studied in the open unit disc. Estimates for initial coefficients of Taylor- Maclaurin series of bi-univalent functions belonging these class are obtained. By choosing the special values for parameters and functions it is shown that the class reduces to several earlier known classes of analytic and biunivalent functions studied in the literature. Coclusions are given for all special parameters and the functions. And finally, some relevant classes which are well known before are recognized and connections to previus results are made.
UR - https://scma.maragheh.ac.ir/article_34894.html
L1 - https://scma.maragheh.ac.ir/article_34894_80ec7483698ee2dbc4429d51d8c0fa68.pdf
ER -