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

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Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
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Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
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Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007 Baku, Azerbaijan
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Department of Mathematics Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan
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Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
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Department of Mathematics, Riphah International University Islamabad, Islamabad 44000, Pakistan
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Department of Mathematics, Comsats University Islamabad, Abbottabad Campus, Abbottabad 22010, Pakistan
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Author to whom correspondence should be addressed.
Mathematics 2020, 8(5), 842; https://doi.org/10.3390/math8050842
Received: 15 April 2020 / Revised: 26 April 2020 / Accepted: 27 April 2020 / Published: 22 May 2020
(This article belongs to the Special Issue Mathematical Analysis and Analytic Number Theory 2020)
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. View Full-Text
Keywords: analytic functions; quantum (or q-) calculus; conic domain; q-derivative operator; Hankel determinant; Toeplitz matrices; Fekete-Szegö problem; q-Bernardi integral operator analytic functions; quantum (or q-) calculus; conic domain; q-derivative operator; Hankel determinant; Toeplitz matrices; Fekete-Szegö problem; q-Bernardi integral operator
MDPI and ACS Style

Srivastava, H.M.; Khan, N.; Darus, M.; Khan, S.; Ahmad, Q.Z.; Hussain, S. Fekete-Szegö Type Problems and Their Applications for a Subclass of q-Starlike Functions with Respect to Symmetrical Points. Mathematics 2020, 8, 842.

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