Starlikeness Associated with the Van Der Pol Numbers-Reference-Cited by-同舟云学术

Starlikeness Associated with the Van Der Pol Numbers

Published:2023-05-10 Issue:10 Volume:11 Page:2231
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Raza Mohsan¹^ORCID,Srivastava Hari Mohan²³⁴⁵⁶^ORCID,Xin Qin⁷^ORCID,Tchier Fairouz⁸^ORCID,Malik Sarfraz Nawaz⁹^ORCID,Arif Muhammad¹⁰^ORCID

Affiliation:

1. Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan

2. Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada

3. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

4. Center for Converging Humanities, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Republic of Korea

5. Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007 Baku, Azerbaijan

6. Section of Mathematics, International Telematic University Uninettuno, I-00186 Rome, Italy

7. Faculty of Science and Technology, University of the Faroe Islands, Vestarabryggja 15, FO 100 Torshavn, Faroe Islands, Denmark

8. Mathematics Department, College of Science, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi Arabia

9. Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt 47040, Pakistan

10. Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan

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.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/10/2231/pdf

Reference42 articles.

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3. A sequence of integers related to the Bessel functions;Carlitz;Proc. Amer. Math. Soc.,1963

4. The Rayleigh function;Kishore;Proc. Amer. Math. Soc.,1963

5. The Rayleigh polynomial;Kishore;Proc. Amer. Math.Soc.,1964

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