Starlikeness associated with the Van der Pol numbers
Date
2023
Authors
Raza, Mohsan
Srivastava, Hari Mohan
Xin, Qin
Tchier, Fairouz
Nawaz Malik, Sarfraz
Arif, Muhammad
Journal Title
Journal ISSN
Volume Title
Publisher
Mathematics
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 a, 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.
Description
Keywords
analytic functions, Van der Pol numbers, starlike functions, coefficient bounds, Hankel determinants, radii problems
Citation
Raza, M., Srivastava, H. M., Xin, Q., Tchier, F., Malik, S. N., & Arif, M. (2023). Starlikeness associated with the van der pol numbers. Mathematics, 11(10), 2231. https://doi.org/10.3390/math11102231