On some subclasses of m-fold symmetric bi-univalent functions

2016/03/03 by Şahsene Altınkaya, Altınkaya, Şahsene, Sibel Yalçın +1
Mathematics · #30C45 #30C50 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:30C45 #msc:30C50

paper · pdf · doi:10.48550/arxiv.1603.01120

9 pages

arxiv created 2016/03/03 · arxiv updated 2016/03/04

Abstract

In this work, we introduce two new subclasses S_Σ_m(α,λ) and S_Σ_m(\beta,λ) of Σ_m consisting of analytic and m-fold symmetric bi-univalent functions in the open unit disk U. Furthermore, for functions in each of the subclasses introduced in this paper, we obtain the coefficient bounds for |a_m+1| and |a_2m+1|.

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