Research Article

Coefficient Bound Estimates and Fekete-Szegö Problem for the Certain Analytic and Univalent Function Classes Subordinated to the Improved q-Exponential Function

Volume: 11 Number: 1-2 December 29, 2025

Coefficient Bound Estimates and Fekete-Szegö Problem for the Certain Analytic and Univalent Function Classes Subordinated to the Improved q-Exponential Function

Abstract

In this study, we define a new subclass of convex univalent functions defined in the open unit disk of the complex plane, subordinated to the improved exponential function. Here, we give some coefficient upper bound estimates and solve Fekete-Szegö problem for this definition class.

Keywords

References

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  3. ARIF, M., AHMAD, K., LIU, J.-L., SOKOL, J. (2019). A new class of analytic functions associated with Salagean operator. J. Funct. Spaces, Article ID 5157394.
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  6. BRANNAN, D. A., KIRWAN, W. E. (1969). On some classes of bounded univalent functions. J. Lond. Math. Soc., 2, 431–443.
  7. CIESLINSKI, J. L. (2011). Improved exponential and trigonometric functions. Applied Mathematics Letters, 24(12), 2110–2114.
  8. ÇAĞLAR, M., BUYANKARA, M., KARAMAN, A. (2024). Fekete–Szegö inequalities for Sakaguchi type bi-univalent functions defined by Gegenbauer polynomials. Turkish Journal of Science, 9(2), 126–136.

Details

Primary Language

English

Subjects

Real and Complex Functions (Incl. Several Variables)

Journal Section

Research Article

Publication Date

December 29, 2025

Submission Date

September 25, 2025

Acceptance Date

December 25, 2025

Published in Issue

Year 2025 Volume: 11 Number: 1-2

APA
Mustafa, N., & Nezir, V. (2025). Coefficient Bound Estimates and Fekete-Szegö Problem for the Certain Analytic and Univalent Function Classes Subordinated to the Improved q-Exponential Function. Eastern Anatolian Journal of Science, 11(1-2), 26-31. https://izlik.org/JA49RR39SL
AMA
1.Mustafa N, Nezir V. Coefficient Bound Estimates and Fekete-Szegö Problem for the Certain Analytic and Univalent Function Classes Subordinated to the Improved q-Exponential Function. Eastern Anatolian Journal of Science. 2025;11(1-2):26-31. https://izlik.org/JA49RR39SL
Chicago
Mustafa, Nizami, and Veysel Nezir. 2025. “Coefficient Bound Estimates and Fekete-Szegö Problem for the Certain Analytic and Univalent Function Classes Subordinated to the Improved Q-Exponential Function”. Eastern Anatolian Journal of Science 11 (1-2): 26-31. https://izlik.org/JA49RR39SL.
EndNote
Mustafa N, Nezir V (December 1, 2025) Coefficient Bound Estimates and Fekete-Szegö Problem for the Certain Analytic and Univalent Function Classes Subordinated to the Improved q-Exponential Function. Eastern Anatolian Journal of Science 11 1-2 26–31.
IEEE
[1]N. Mustafa and V. Nezir, “Coefficient Bound Estimates and Fekete-Szegö Problem for the Certain Analytic and Univalent Function Classes Subordinated to the Improved q-Exponential Function”, Eastern Anatolian Journal of Science, vol. 11, no. 1-2, pp. 26–31, Dec. 2025, [Online]. Available: https://izlik.org/JA49RR39SL
ISNAD
Mustafa, Nizami - Nezir, Veysel. “Coefficient Bound Estimates and Fekete-Szegö Problem for the Certain Analytic and Univalent Function Classes Subordinated to the Improved Q-Exponential Function”. Eastern Anatolian Journal of Science 11/1-2 (December 1, 2025): 26-31. https://izlik.org/JA49RR39SL.
JAMA
1.Mustafa N, Nezir V. Coefficient Bound Estimates and Fekete-Szegö Problem for the Certain Analytic and Univalent Function Classes Subordinated to the Improved q-Exponential Function. Eastern Anatolian Journal of Science. 2025;11:26–31.
MLA
Mustafa, Nizami, and Veysel Nezir. “Coefficient Bound Estimates and Fekete-Szegö Problem for the Certain Analytic and Univalent Function Classes Subordinated to the Improved Q-Exponential Function”. Eastern Anatolian Journal of Science, vol. 11, no. 1-2, Dec. 2025, pp. 26-31, https://izlik.org/JA49RR39SL.
Vancouver
1.Nizami Mustafa, Veysel Nezir. Coefficient Bound Estimates and Fekete-Szegö Problem for the Certain Analytic and Univalent Function Classes Subordinated to the Improved q-Exponential Function. Eastern Anatolian Journal of Science [Internet]. 2025 Dec. 1;11(1-2):26-31. Available from: https://izlik.org/JA49RR39SL