On certain subclasses of multivalent functions with varying arguments of coefficients

Shigeyoshi Owa; Mohamed Kamal Aouf; Hanaa Zayed

doi:10.5269/bspm.43780

Shigeyoshi Owa “1 Decembrie 1918” University of Alba Iulia
Mohamed Kamal Aouf Mansoura University
Hanaa Zayed Menofia University

Abstract

In this paper we introduce and study new classes VM_{p,η}(λ,α,β) and VN_{p,η}(λ,α,β) of multivalent functions with varying arguments of coefficients. We obtain coefficients inequalities, distortion theorems and extreme points for functions in these classes. Also, we investigate several distortion inequalities involving fractional calculus. Finally, results on partial sums are considerd.

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Author Biography

Shigeyoshi Owa, “1 Decembrie 1918” University of Alba Iulia

Honorary Professor

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