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

Symmetry

Maslina Darus¹  HariM. Srivastava²  Nazar Khan³  Samiha Kiran³  Muhammad Shafiq³  QaziZahoor Ahmad⁴ 

[1] Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia;Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada;Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan;Government Akhtar Nawaz Khan (Shaheed) Degree College KTS, Haripur 22620, Pakistan;

关键词: starlike functions;    subordination;    q-Differential operator;    k-Fibonacci numbers;   

DOI  :  10.3390/sym12061043

来源: DOAJ

【 摘 要 】

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 $\mathcal{A}$ of normalized analytic functions, where class $\mathcal{A}$ is invariant (or symmetric) under rotations. For this function class we obtain an upper bound of the third Hankel determinant.

【 授权许可】

Unknown