On the Fekete–Szegö Problem for Certain Classes of (γ,δ)-Starlike and (γ,δ)-Convex Functions Related to Quasi-Subordinations

Author:

Almutairi Norah Saud1ORCID,Shahen Awatef1,Cătaş Adriana2ORCID,Darwish Hanan1

Affiliation:

1. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

2. Department of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, Romania

Abstract

In the present paper, we propose new generalized classes of (p,q)-starlike and (p,q)-convex functions. These classes are introduced by making use of a (p,q)-derivative operator. There are established Fekete–Szegö estimates |a3−μa22| for functions belonging to the newly introduced subclasses. Certain subclasses of analytic univalent functions associated with quasi-subordination are defined.

Funder

University of Oradea, Romania

Publisher

MDPI AG

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