English

Initial coefficient bounds for a general class of bi-univalent functions

Complex Variables 2013-03-12 v1

Abstract

Inspired by the recent works of Srivastava et al. (HMS-AKM-PG), Frasin and Aouf (BAF-MKA) and others (Ali-Ravi-Ma-Mina-class,Caglar-Orhan,Goyal-Goswami,Xu-HMS-AML,Xu-HMS-AMC), we propose to investigate the coefficient estimates for a general class of analytic and bi-univalent functions. Also, we obtain estimates on the coefficients |a2| and |a3| for functions in this new class. Some interesting remarks, corollaries and applications of the results presented here are also discussed.

Keywords

Cite

@article{arxiv.1303.2527,
  title  = {Initial coefficient bounds for a general class of bi-univalent functions},
  author = {H. Orhan and N. Magesh and V. K. Balaji},
  journal= {arXiv preprint arXiv:1303.2527},
  year   = {2013}
}

Comments

8 pages, submitted to a journal for publication

R2 v1 2026-06-21T23:39:58.238Z