Research Article

COEFFICIENT BOUNDS AND FEKETE-SZEGÖ FUNCTIONAL PROBLEM FOR A NEW SUBCLASS OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS

Volume: 15 Number: 12 December 6, 2025

COEFFICIENT BOUNDS AND FEKETE-SZEGÖ FUNCTIONAL PROBLEM FOR A NEW SUBCLASS OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS

Abstract

This paper introduces a novel subclass of $m$-fold symmetric bi-univalent functions denoted as $\mathcal{S}_{\Sigma_m}^{h.p}$. Precise coefficient estimates for terms $|a_{m+1}| , |a_{2m+1}|$ and the Fekete-Szegö functional are derived for functions belonging to this subclass. The results presented in this paper would generalize and improve some recent works of several earlier authors.

Keywords

Thanks

The authors sincerely thank the referees for their valuable comments and suggestions.

References

  1. Aldawish, I., Swamy, S. R., Frasin, B. A., (2022), A Special family of m-fold symmetric bi-univalent functions satisfying subordination condition, Fractal Fract., 6(5), pp. 1-13.
  2. Brannan, D. A., Clunie(Eds.), J. G., (1980), Aspects of contemporary complex analysis, Academic Press, London.
  3. Brannan, D. A., Taha, T. S., (1986), On Some classes of bi-univalent functions, Studia Univ. Babes-Bolyai Math., 31(2), pp. 70-77.
  4. Dubey, R. S., Shekhawat, N., Vijaywargiya, P., Modi, K., (2023), Certain subclass of m- fold symmetric bi-univalent functions' bounds for initial coefficients, Palest. J. Math., 12(1), pp. 968-975.
  5. Jadhav, S. D., Patil, A. B., Wani, I. A., (2024), Initial Taylor-Maclurin coefficient bounds and the Fekete-Szeg$\ddot{o}$ problems for subclasses of m-fold symmetric analytic bi-univalent functions, TWMS. J. App. and Eng. Math., 14(1), pp. 185-196.
  6. Motamednezhad, A., Salehian, S., Magesh, N., (2022), Coefficient estimates for subclass of m-fold Symmetric Bi-univalent Functions, Kragujevac J. Math., 46(3), pp. 395-406.
  7. Motamednezhad, A., Salehian, S., Magesh, N., (2021), The Fekete-Szegö problems for a subclass of m-fold symmetric bi-univalent functions,TWMS. J. App. and Eng. Math., 11(2), pp. 514-523.
  8. Koepf, W., (1989), Coefficients of symmetric functions of bounded boundary rotation, Proc. Amer. Math. Soc., 105(2), pp. 324-329.

Details

Primary Language

English

Subjects

Real and Complex Functions (Incl. Several Variables)

Journal Section

Research Article

Publication Date

December 6, 2025

Submission Date

December 18, 2024

Acceptance Date

April 5, 2025

Published in Issue

Year 2025 Volume: 15 Number: 12

APA
Gorganli Davaji, A., Motamednezhad, A., & Salehian, S. (2025). COEFFICIENT BOUNDS AND FEKETE-SZEGÖ FUNCTIONAL PROBLEM FOR A NEW SUBCLASS OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS. TWMS Journal of Applied and Engineering Mathematics, 15(12), 2732-2741. https://izlik.org/JA22FF93LJ
AMA
1.Gorganli Davaji A, Motamednezhad A, Salehian S. COEFFICIENT BOUNDS AND FEKETE-SZEGÖ FUNCTIONAL PROBLEM FOR A NEW SUBCLASS OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS. JAEM. 2025;15(12):2732-2741. https://izlik.org/JA22FF93LJ
Chicago
Gorganli Davaji, Ayyub, Ahmad Motamednezhad, and Safa Salehian. 2025. “COEFFICIENT BOUNDS AND FEKETE-SZEGÖ FUNCTIONAL PROBLEM FOR A NEW SUBCLASS OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS”. TWMS Journal of Applied and Engineering Mathematics 15 (12): 2732-41. https://izlik.org/JA22FF93LJ.
EndNote
Gorganli Davaji A, Motamednezhad A, Salehian S (December 1, 2025) COEFFICIENT BOUNDS AND FEKETE-SZEGÖ FUNCTIONAL PROBLEM FOR A NEW SUBCLASS OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS. TWMS Journal of Applied and Engineering Mathematics 15 12 2732–2741.
IEEE
[1]A. Gorganli Davaji, A. Motamednezhad, and S. Salehian, “COEFFICIENT BOUNDS AND FEKETE-SZEGÖ FUNCTIONAL PROBLEM FOR A NEW SUBCLASS OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS”, JAEM, vol. 15, no. 12, pp. 2732–2741, Dec. 2025, [Online]. Available: https://izlik.org/JA22FF93LJ
ISNAD
Gorganli Davaji, Ayyub - Motamednezhad, Ahmad - Salehian, Safa. “COEFFICIENT BOUNDS AND FEKETE-SZEGÖ FUNCTIONAL PROBLEM FOR A NEW SUBCLASS OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS”. TWMS Journal of Applied and Engineering Mathematics 15/12 (December 1, 2025): 2732-2741. https://izlik.org/JA22FF93LJ.
JAMA
1.Gorganli Davaji A, Motamednezhad A, Salehian S. COEFFICIENT BOUNDS AND FEKETE-SZEGÖ FUNCTIONAL PROBLEM FOR A NEW SUBCLASS OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS. JAEM. 2025;15:2732–2741.
MLA
Gorganli Davaji, Ayyub, et al. “COEFFICIENT BOUNDS AND FEKETE-SZEGÖ FUNCTIONAL PROBLEM FOR A NEW SUBCLASS OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS”. TWMS Journal of Applied and Engineering Mathematics, vol. 15, no. 12, Dec. 2025, pp. 2732-41, https://izlik.org/JA22FF93LJ.
Vancouver
1.Ayyub Gorganli Davaji, Ahmad Motamednezhad, Safa Salehian. COEFFICIENT BOUNDS AND FEKETE-SZEGÖ FUNCTIONAL PROBLEM FOR A NEW SUBCLASS OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS. JAEM [Internet]. 2025 Dec. 1;15(12):2732-41. Available from: https://izlik.org/JA22FF93LJ