Starlikeness Associated with the Van Der Pol Numbers

Mohsan Raza, Hari Mohan Srivastava, Qin Xin, Fairouz Tchier, Sarfraz Nawaz Malik () and Muhammad Arif
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Mohsan Raza: Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan
Hari Mohan Srivastava: Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
Qin Xin: Faculty of Science and Technology, University of the Faroe Islands, Vestarabryggja 15, FO 100 Torshavn, Faroe Islands, Denmark
Fairouz Tchier: Mathematics Department, College of Science, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi Arabia
Sarfraz Nawaz Malik: Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt 47040, Pakistan
Muhammad Arif: Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan

Mathematics, 2023, vol. 11, issue 10, 1-22

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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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