On Coefficient problem for bi-univalent analytic functions
Complex Variables
2017-03-13 v1
Abstract
Estimates for initial coefficients of Taylor-Maclaurin series of bi-univalent functions belonging to certain classes defined by subordination are obtained. Our estimates improve upon the earlier known estimates for second and third coefficient. The bound for the fourth coefficient is new. In addition, bound for the fifth coefficient is obtained for bi-starlike and strongly bi-starlike functions of order and respectively.
Cite
@article{arxiv.1703.03598,
title = {On Coefficient problem for bi-univalent analytic functions},
author = {Nisha Bohra and V. Ravichandran},
journal= {arXiv preprint arXiv:1703.03598},
year = {2017}
}