Generalized Briot-Bouquet Differential Equation Based on New Differential Operator with Complex Connections

Rabha W. Ibrahim; Rafida M. Elobaid; Suzan Jabbar Obaiys

doi:10.3390/axioms9020042

Generalized Briot-Bouquet Differential Equation Based on New Differential Operator with Complex Connections

Rabha W. Ibrahim, Rafida M. Elobaid, Suzan Jabbar Obaiys

School of Mathematical & Computer Sciences

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

57 Downloads (Pure)

Abstract

A class of Briot–Bouquet differential equations is a magnificent part of investigating the geometric behaviors of analytic functions, using the subordination and superordination concepts. In this work, we aim to formulate a new differential operator with complex connections (coefficients) in the open unit disk and generalize a class of Briot–Bouquet differential equations (BBDEs). We study and generalize new classes of analytic functions based on the new differential operator. Consequently, we define a linear operator with applications.

Original language	English
Article number	42
Journal	Axioms
Volume	9
Issue number	2
Early online date	21 Apr 2020
DOIs	https://doi.org/10.3390/axioms9020042
Publication status	Published - Jun 2020

Keywords

30C45
Analytic function
Differential operator
Subordination
Unit disk MSC: 30C55
Univalent function

ASJC Scopus subject areas

Analysis
Logic
Geometry and Topology
Algebra and Number Theory
Mathematical Physics

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AB - A class of Briot–Bouquet differential equations is a magnificent part of investigating the geometric behaviors of analytic functions, using the subordination and superordination concepts. In this work, we aim to formulate a new differential operator with complex connections (coefficients) in the open unit disk and generalize a class of Briot–Bouquet differential equations (BBDEs). We study and generalize new classes of analytic functions based on the new differential operator. Consequently, we define a linear operator with applications.

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KW - Analytic function

KW - Differential operator

KW - Subordination

KW - Unit disk MSC: 30C55

KW - Univalent function

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ER -

Generalized Briot-Bouquet Differential Equation Based on New Differential Operator with Complex Connections

Abstract

Keywords

ASJC Scopus subject areas

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