Fekete-Szegö Type Problems and Their Applications for a Subclass of q -Starlike Functions with Respect to Symmetrical Points

Hari Mohan Srivastava, Nazar Khan, Maslina Darus, Shahid Khan, Qazi Zahoor Ahmad and Saqib Hussain
Additional contact information
Hari Mohan Srivastava: Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
Nazar Khan: Department of Mathematics Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan
Maslina Darus: Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
Shahid Khan: Department of Mathematics, Riphah International University Islamabad, Islamabad 44000, Pakistan
Qazi Zahoor Ahmad: Department of Mathematics Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan
Saqib Hussain: Department of Mathematics, Comsats University Islamabad, Abbottabad Campus, Abbottabad 22010, Pakistan

Mathematics, 2020, vol. 8, issue 5, 1-18

Abstract: In this article, by using the concept of the quantum (or q -) calculus and a general conic domain Ω k , q , we study a new subclass of normalized analytic functions with respect to symmetrical points in an open unit disk. We solve the Fekete-Szegö type problems for this newly-defined subclass of analytic functions. We also discuss some applications of the main results by using a q -Bernardi integral operator.

Keywords: analytic functions; quantum (or q -) calculus; conic domain; q -derivative operator; Hankel determinant; Toeplitz matrices; Fekete-Szegö problem; q -Bernardi integral operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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