A new subclass of analytic functions defined by using Salagean q-differential operator

Muhammad Naeem, Saqib Hussain, Tahir Mahmood, Shahid Khan, Maslina Darus

Research output: Contribution to journalArticle

Abstract

In our present investigation, we use the technique of convolution and quantum calculus to study the Salagean q-differential operator. By using this operator and the concept of the Janowski function, we define certain new classes of analytic functions. Some properties of these classes are discussed, and numerous sharp results such as coefficient estimates, distortion theorem, radii of star-likeness, convexity, close-to-convexity, extreme points, and integral mean inequalities of functions belonging to these classes are obtained and studied.

Original languageEnglish
Article number458
JournalMathematics
Volume7
Issue number5
DOIs
Publication statusPublished - 1 Jan 2019

Fingerprint

Differential operator
Analytic function
Convexity
Distortion Theorem
Integral Means
Coefficient Estimates
Extreme Points
Convolution
Star
Calculus
Radius
Operator
Class
Concepts

Keywords

  • Analytic functions
  • Salagean q-differential operator
  • Subordination

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

A new subclass of analytic functions defined by using Salagean q-differential operator. / Naeem, Muhammad; Hussain, Saqib; Mahmood, Tahir; Khan, Shahid; Darus, Maslina.

In: Mathematics, Vol. 7, No. 5, 458, 01.01.2019.

Research output: Contribution to journalArticle

Naeem, Muhammad ; Hussain, Saqib ; Mahmood, Tahir ; Khan, Shahid ; Darus, Maslina. / A new subclass of analytic functions defined by using Salagean q-differential operator. In: Mathematics. 2019 ; Vol. 7, No. 5.
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