An Upper Bound of the Third Hankel Determinant for a Subclass of q-Starlike Functions Associated with k-Fibonacci Numbers
Muhammad Shafiq, H. M. Srivastava, Nazar Khan, Qazi Zahoor Ahmad, Maslina Darus, Samiha Kiran
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.
Topics & Concepts
SubclassMathematicsFibonacci numberCombinatoricsUpper and lower boundsClass (philosophy)Symmetric functionInvariant (physics)Operator (biology)Pure mathematicsFunction (biology)Discrete mathematicsMathematical analysisComputer scienceChemistryImmunologyAntibodyArtificial intelligenceBiologyGeneTranscription factorEvolutionary biologyRepressorMathematical physicsBiochemistryAnalytic and geometric function theoryHolomorphic and Operator Theory