English

The General Subclasses of the Analytic Functions and Their Various Properties

Complex Variables 2018-02-06 v2

Abstract

The object of the present paper is to introduce and investigate two new general subclasses SC(α,β;γ){{S}^{*}}C(\alpha ,\beta ;\gamma ) and TSC(α,β;γ)  (α,β[0,1), γ[0,1])T{{S}^{*}}C(\alpha ,\beta ;\gamma )~~(\alpha, \beta \in [0,1),~\gamma \in [0,1]) of the analytic functions. Here, we give sufficient conditions as well as necessary and sufficient conditions for the functions belonging to the classes.

Keywords

Cite

@article{arxiv.1707.05126,
  title  = {The General Subclasses of the Analytic Functions and Their Various Properties},
  author = {Sercan Topkaya and Nizami Mustafa},
  journal= {arXiv preprint arXiv:1707.05126},
  year   = {2018}
}