Starlikeness Associated with the Van Der Pol Numbers

Abstract

In this paper, we define a subclass of starlike functions associated with the Van der Pol numbers. For this class, we derive structural formula, radius of starlikeness of order α, strong starlikeness, and some inclusion results. We also study radii problems for various classes of analytic functions. Furthermore, we investigate some coefficient-related problems which include the sharp initial coefficient bounds and sharp bounds on Hankel determinants of order two and three.

Keywords

• analytic functions
• Van der Pol numbers
• starlike functions
• coefficient bounds
• Hankel determinants
• radii problems