English

Coefficient bounds for new subclasses of bi-univalent functions

Complex Variables 2012-04-20 v1

Abstract

In the present investigation, we consider two new subclasses N_{{\Sigma}}^{{\mu}}({\alpha},{\lambda}) and N_{{\Sigma}}^{{\mu}}({\beta},{\lambda}) of bi-univalent functions defined in the open unit disk U={z:|z|<1}. Besides, we find upper bounds for the second and third coefficients for functions in these new subclasses.

Keywords

Cite

@article{arxiv.1204.4285,
  title  = {Coefficient bounds for new subclasses of bi-univalent functions},
  author = {Murat Çağlar and Halit Orhan and Nihat Yağmur},
  journal= {arXiv preprint arXiv:1204.4285},
  year   = {2012}
}

Comments

7 pages, submitted to any Journal for publication

R2 v1 2026-06-21T20:51:55.714Z