TY - JOUR
ID - 677
TI - Faber polynomial coefficient estimates for bi-univalent functions defined by subordinations
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Hamidi, S. G.
AU - Jahangiri, J. M.
AD - Department of Mathematics, Brigham Young University, Provo, Utah,
U.S.A.
AD - Kent State University
Y1 - 2015
PY - 2015
VL - 41
IS - 5
SP - 1103
EP - 1119
KW - faber polynomials
KW - bi-univalent
KW - subordinations
DO -
N2 - A function is said to be bi-univalent on the open unit disk D if both the function and its inverse are univalent in D. Not much is known about the behavior of the classes of bi-univalent functions let alone about their coefficients. In this paper we use the Faber polynomial expansions to find coefficient estimates for four well-known classes of bi-univalent functions which are defined by subordinations. Both the coefficient bounds and the techniques presented are new and we hope that this paper will inspire future researchers in applying our approach to other related problems.
UR - http://bims.iranjournals.ir/article_677.html
L1 - http://bims.iranjournals.ir/article_677_e5131ddd5a6ee9375c73e35f78d96727.pdf
ER -