On a class of analytic functions associated to a complex domain concerning q-differential-difference operator

Rabha W. Ibrahim, Maslina Darus

Research output: Contribution to journalArticle

Abstract

In our current investigation, we apply the idea of quantum calculus and the convolution product to amend a generalized Salagean q-differential operator. By considering the new operator and the typical version of the Janowski function, we designate definite new classes of analytic functions in the open unit disk. Significant properties of these modules are considered, and recurrent sharp consequences and geometric illustrations are realized. Applications are considered to find the existence of solutions of a new class of q-Briot–Bouquet differential equations.

Original languageEnglish
Article number515
JournalAdvances in Difference Equations
Volume2019
Issue number1
DOIs
Publication statusPublished - 1 Dec 2019

Fingerprint

Difference Operator
Differential operator
Analytic function
Convolution Product
Convolution
Unit Disk
Mathematical operators
Existence of Solutions
Calculus
Differential equations
Differential equation
Module
Operator
Class

Keywords

  • Analytic function
  • Differential operator
  • Fractional calculus
  • q-calculus
  • Subordination and superordination
  • Unit disk
  • Univalent function

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

Cite this

On a class of analytic functions associated to a complex domain concerning q-differential-difference operator. / Ibrahim, Rabha W.; Darus, Maslina.

In: Advances in Difference Equations, Vol. 2019, No. 1, 515, 01.12.2019.

Research output: Contribution to journalArticle

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