A New Subclass of Analytic Functions Defined by Using Salagean q -Differential Operator

Muhammad Naeem, Saqib Hussain, Tahir Mahmood, Shahid Khan and Maslina Darus
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Muhammad Naeem: Department of Mathematics and Statistics, International Islamic University, 44000 Islamabad, Pakistan
Saqib Hussain: Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, 22060 Abbottabad, Pakistan
Tahir Mahmood: Department of Mathematics and Statistics, International Islamic University, 44000 Islamabad, Pakistan
Shahid Khan: Department of Mathematics, Riphah International University, 44000 Islamabad, Pakistan
Maslina Darus: School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Selangor, Malaysia

Mathematics, 2019, vol. 7, issue 5, 1-13

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.

Keywords: analytic functions; subordination; Salagean q-differential operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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