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Article

An Upper Bound of the Third Hankel Determinant for a Subclass of q-Starlike Functions Associated with k-Fibonacci Numbers

1
Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan
2
Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
3
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
4
Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, Baku AZ1007, Azerbaijan
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Government Akhtar Nawaz Khan (Shaheed) Degree College KTS, Haripur 22620, Pakistan
6
Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(6), 1043; https://doi.org/10.3390/sym12061043
Received: 15 May 2020 / Revised: 11 June 2020 / Accepted: 16 June 2020 / Published: 22 June 2020
(This article belongs to the Special Issue Integral Transformation, Operational Calculus and Their Applications)
In this paper, we use q-derivative operator to define a new class of q-starlike functions associated with k-Fibonacci numbers. This newly defined class is a subclass of class A of normalized analytic functions, where class A is invariant (or symmetric) under rotations. For this function class we obtain an upper bound of the third Hankel determinant. View Full-Text
Keywords: starlike functions; subordination; q-Differential operator; k-Fibonacci numbers starlike functions; subordination; q-Differential operator; k-Fibonacci numbers
MDPI and ACS Style

Shafiq, M.; Srivastava, H.M.; Khan, N.; Ahmad, Q.Z.; Darus, M.; Kiran, S. An Upper Bound of the Third Hankel Determinant for a Subclass of q-Starlike Functions Associated with k-Fibonacci Numbers. Symmetry 2020, 12, 1043. https://doi.org/10.3390/sym12061043

AMA Style

Shafiq M, Srivastava HM, Khan N, Ahmad QZ, Darus M, Kiran S. An Upper Bound of the Third Hankel Determinant for a Subclass of q-Starlike Functions Associated with k-Fibonacci Numbers. Symmetry. 2020; 12(6):1043. https://doi.org/10.3390/sym12061043

Chicago/Turabian Style

Shafiq, Muhammad, Hari M. Srivastava, Nazar Khan, Qazi Zahoor Ahmad, Maslina Darus, and Samiha Kiran. 2020. "An Upper Bound of the Third Hankel Determinant for a Subclass of q-Starlike Functions Associated with k-Fibonacci Numbers" Symmetry 12, no. 6: 1043. https://doi.org/10.3390/sym12061043

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