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

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

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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 languageEnglish
Article number42
JournalAxioms
Volume9
Issue number2
Early online date21 Apr 2020
DOIs
Publication statusPublished - 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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