An Upper Bound of the Third Hankel Determinant for a Subclass of q-Starlike Functions Associated with k-Fibonacci Numbers
Date
2020
Authors
Shafiq, Muhammad
Srivastava, H.M.
Khan, Nazar
Ahmad, Qazi Zahoor
Darus, Maslina
Kiran, Samiha
Journal Title
Journal ISSN
Volume Title
Publisher
Symmetry
Abstract
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.
Description
Keywords
starlike functions, subordination, q-Differential operator, k-Fibonacci numbers
Citation
Shafiq, M., Srivastava, H. M., Khan, N., Ahmad, Q. Z., Darus, M., & Kiran, S. (2020). An upper bound of the third Hankel determinant for a subclass of q-starlike functions associated with k-Fibonacci numbers. Symmetry, 12(6). https://doi.org/10.3390/sym12061043