ON A SUBCLASS OF TILTED STARLIKE FUNCTIONS ASSOCIATED WITH EPICYCLOID DOMAIN

Nur Athirah Hani Senin; Yuzaimi Yunus; Nur Hazwani Aqilah Abdul Wahid; Rashidah Omar

ON A SUBCLASS OF TILTED STARLIKE FUNCTIONS ASSOCIATED WITH EPICYCLOID DOMAIN

Abstract

This paper investigates a subclass of analytic and univalent functions defined on the open unit disk. A new subclass of tilted starlike functions associated with an epicycloid-shaped domain is defined. These functions are characterized by a subordination condition involving a tilted factor. The study focuses on the analytic characterization of the class, particularly the estimation of initial coefficients. Furthermore, upper bounds are obtained for the Fekete–Szegö functional and the second Hankel determinant. The results not only extend several known findings in the literature but also demonstrate sharpness, since they reduce to known subclasses in special cases, offering new perspectives on the behavior of tilted starlike functions associated with epicycloidal image domains.

Keywords

Thanks

The authors acknowledge the support of Universiti Teknologi MARA and the financial assistance from MyBrainSc, Ministry of Higher Education Malaysia, which contributed to the successful completion of this research.

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Details

Primary Language

English

Subjects

Real and Complex Functions (Incl. Several Variables)

Journal Section

Research Article

Authors

Nur Athirah Hani Senin ^* This is me
Malaysia

Yuzaimi Yunus This is me
0000-0002-4064-4041
Malaysia

Nur Hazwani Aqilah Abdul Wahid
0000-0002-1830-9482
Malaysia

Rashidah Omar This is me
0000-0003-0617-6966
Malaysia

Publication Date

September 7, 2026

Submission Date

May 21, 2025

Acceptance Date

September 22, 2025

Published in Issue

Year 2026 Volume: 16 Number: 9

IZ

https://izlik.org/JA57AF67EY

Cite

RIS / Bibtex

APA

Senin, N. A. H., Yunus, Y., Abdul Wahid, N. H. A., & Omar, R. (2026). ON A SUBCLASS OF TILTED STARLIKE FUNCTIONS ASSOCIATED WITH EPICYCLOID DOMAIN. TWMS Journal of Applied and Engineering Mathematics, 16(9), 1078-1088. https://izlik.org/JA57AF67EY

AMA

1.Senin NAH, Yunus Y, Abdul Wahid NHA, Omar R. ON A SUBCLASS OF TILTED STARLIKE FUNCTIONS ASSOCIATED WITH EPICYCLOID DOMAIN. JAEM. 2026;16(9):1078-1088. https://izlik.org/JA57AF67EY

Chicago

Senin, Nur Athirah Hani, Yuzaimi Yunus, Nur Hazwani Aqilah Abdul Wahid, and Rashidah Omar. 2026. “ON A SUBCLASS OF TILTED STARLIKE FUNCTIONS ASSOCIATED WITH EPICYCLOID DOMAIN”. TWMS Journal of Applied and Engineering Mathematics 16 (9): 1078-88. https://izlik.org/JA57AF67EY.

EndNote

Senin NAH, Yunus Y, Abdul Wahid NHA, Omar R (September 1, 2026) ON A SUBCLASS OF TILTED STARLIKE FUNCTIONS ASSOCIATED WITH EPICYCLOID DOMAIN. TWMS Journal of Applied and Engineering Mathematics 16 9 1078–1088.

IEEE

[1]N. A. H. Senin, Y. Yunus, N. H. A. Abdul Wahid, and R. Omar, “ON A SUBCLASS OF TILTED STARLIKE FUNCTIONS ASSOCIATED WITH EPICYCLOID DOMAIN”, JAEM, vol. 16, no. 9, pp. 1078–1088, Sept. 2026, [Online]. Available: https://izlik.org/JA57AF67EY

ISNAD

Senin, Nur Athirah Hani - Yunus, Yuzaimi - Abdul Wahid, Nur Hazwani Aqilah - Omar, Rashidah. “ON A SUBCLASS OF TILTED STARLIKE FUNCTIONS ASSOCIATED WITH EPICYCLOID DOMAIN”. TWMS Journal of Applied and Engineering Mathematics 16/9 (September 1, 2026): 1078-1088. https://izlik.org/JA57AF67EY.

JAMA

1.Senin NAH, Yunus Y, Abdul Wahid NHA, Omar R. ON A SUBCLASS OF TILTED STARLIKE FUNCTIONS ASSOCIATED WITH EPICYCLOID DOMAIN. JAEM. 2026;16:1078–1088.

MLA

Senin, Nur Athirah Hani, et al. “ON A SUBCLASS OF TILTED STARLIKE FUNCTIONS ASSOCIATED WITH EPICYCLOID DOMAIN”. TWMS Journal of Applied and Engineering Mathematics, vol. 16, no. 9, Sept. 2026, pp. 1078-8, https://izlik.org/JA57AF67EY.

Vancouver

1.Nur Athirah Hani Senin, Yuzaimi Yunus, Nur Hazwani Aqilah Abdul Wahid, Rashidah Omar. ON A SUBCLASS OF TILTED STARLIKE FUNCTIONS ASSOCIATED WITH EPICYCLOID DOMAIN. JAEM [Internet]. 2026 Sep. 1;16(9):1078-8. Available from: https://izlik.org/JA57AF67EY