Symmetry
(Jun 2020)
An Upper Bound of the Third Hankel Determinant for a Subclass of <i>q</i>-Starlike Functions Associated with <i>k</i>-Fibonacci Numbers
Muhammad Shafiq,
Hari M. Srivastava,
Nazar Khan,
Qazi Zahoor Ahmad,
Maslina Darus,
Samiha Kiran
Affiliations
Muhammad Shafiq
Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan
Hari M. 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
Qazi Zahoor Ahmad
Government Akhtar Nawaz Khan (Shaheed) Degree College KTS, Haripur 22620, Pakistan
Maslina Darus
Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
Samiha Kiran
Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan
DOI
https://doi.org/10.3390/sym12061043
Journal volume & issue
Vol. 12,
no. 6
Abstract
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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.
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