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Application of Quasi Subordination Associated with Generalized Sakaguchi Type Functions

Nihad Hameed Shehab, Abdul Rahman S. Juma · 2021 📄 DOI →

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Ma-Minda φ-classes studied in this paper:
Sigmoid starlike
Abstract

In this article, a new class ( ) of analytic functions which is defined by terms of a quasi-subordination is introduced. The coefficient estimates, including the classical - ̈ inequality of functions belonging to this class, are then derived. Also, several special improving results for the associated classes involving the subordination are presented.

Results & Lemmas (2)

Each result is auto-extracted from the paper via OCR - the math is shown verbatim and may carry occasional transcription artifacts. Click to expand the full statement.

Lemma 1. Lemma 1.[22]. Let ( ) be the Schwarz function given by ( ) ( ) then | | | | (| | )| | * | |+ (15) where.
Lemma 1.[22] . Let ( ) be the Schwarz function given by ( ) ( ) then | | | | (| | )| | * | |+ (15) where .
Lemma 2. Lemma 2.[23]. We symbolize to a sigmoid function and ( ) ( ) z e  1 2 ∑( )
Lemma 2.[23]. We symbolize to a sigmoid function and ( ) ( ) z e  1 2 ∑( )
Function classes studied:
bi-univalent close-to-convex

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