English

Extensions of Nunokawa lemma for argument properties

Complex Variables 2013-06-03 v2

Abstract

Let H[a_0,n] be the class of functions p(z)=a_0+a_nz^n+... which are analytic in the open unit disk U. For p(z)in H[1,2], M. Nunokawa, S. Owa, N. Uyanik and H. Shiraishi (Math. Comput. Modelling. 55 (2012), 1245-1250) have shown some theorems for argument properties. The object of the present paper is to discuss some extensions of Nnnokawa lemma and its applications for argument properties.

Keywords

Cite

@article{arxiv.1302.6908,
  title  = {Extensions of Nunokawa lemma for argument properties},
  author = {Hitoshi Shiraishi},
  journal= {arXiv preprint arXiv:1302.6908},
  year   = {2013}
}