Research Article

Fekete-Sezegö problem for certain subclass of analytic and univalent functions associated with cosine and sine functions of complex order

Volume: 9 Number: 2 December 31, 2023
EN

Fekete-Sezegö problem for certain subclass of analytic and univalent functions associated with cosine and sine functions of complex order

Abstract

The main focus of this paper is to give some coefficient estimates for the analytic and univalent functions on the open unit disk in the complex plane that are subordinated to cosine and sine functions of complex order. For the defined here subclass of analytic and univalent functions , with the quantity subordinated to , we obtain the coefficient estimates for the initial two coefficients and examine the Fekete-Szegö problem.

Keywords

References

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  3. BANO, K., RAZA, M. (2020) Starlike functions associated with cosine function. Bull. Iran. Math. Soc. 47: pp. 1513-1532.
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  5. BRANNAN, D. A., KİRWAN, W. E. (1969) On some classes of bounded univalent functions. J. Lond. Math. Soc. 2: pp. 431-443.
  6. CHO, N. E., KUMAR, V., KUMAR, S. S., RAVİCHANDRAN, V. (2019) Radius problems for starlike functions associated with the sine function. Bull. Iran. Math. Soc. 45: pp. 213-232.
  7. DE BRANGES, L. (1985) A proof of the Bieberbach conjecture. Acta Math. 154: pp. 137-152.
  8. DUREN, P. L. (1983) Univalent Functions. In Grundlehren der Mathematischen Wissenschaften, New York, Berlin, Heidelberg and Tokyo, Springer-Verlag, Volume 259.

Details

Primary Language

English

Subjects

Mathematical Methods and Special Functions

Journal Section

Research Article

Publication Date

December 31, 2023

Submission Date

September 11, 2023

Acceptance Date

December 27, 2023

Published in Issue

Year 2023 Volume: 9 Number: 2

APA
Mustafa, N., & Demir, H. A. (2023). Fekete-Sezegö problem for certain subclass of analytic and univalent functions associated with cosine and sine functions of complex order. Eastern Anatolian Journal of Science, 9(2), 10-15. https://izlik.org/JA38TE83JZ
AMA
1.Mustafa N, Demir HA. Fekete-Sezegö problem for certain subclass of analytic and univalent functions associated with cosine and sine functions of complex order. Eastern Anatolian Journal of Science. 2023;9(2):10-15. https://izlik.org/JA38TE83JZ
Chicago
Mustafa, Nizami, and Hacı Ahmet Demir. 2023. “Fekete-Sezegö Problem for Certain Subclass of Analytic and Univalent Functions Associated With Cosine and Sine Functions of Complex Order”. Eastern Anatolian Journal of Science 9 (2): 10-15. https://izlik.org/JA38TE83JZ.
EndNote
Mustafa N, Demir HA (December 1, 2023) Fekete-Sezegö problem for certain subclass of analytic and univalent functions associated with cosine and sine functions of complex order. Eastern Anatolian Journal of Science 9 2 10–15.
IEEE
[1]N. Mustafa and H. A. Demir, “Fekete-Sezegö problem for certain subclass of analytic and univalent functions associated with cosine and sine functions of complex order”, Eastern Anatolian Journal of Science, vol. 9, no. 2, pp. 10–15, Dec. 2023, [Online]. Available: https://izlik.org/JA38TE83JZ
ISNAD
Mustafa, Nizami - Demir, Hacı Ahmet. “Fekete-Sezegö Problem for Certain Subclass of Analytic and Univalent Functions Associated With Cosine and Sine Functions of Complex Order”. Eastern Anatolian Journal of Science 9/2 (December 1, 2023): 10-15. https://izlik.org/JA38TE83JZ.
JAMA
1.Mustafa N, Demir HA. Fekete-Sezegö problem for certain subclass of analytic and univalent functions associated with cosine and sine functions of complex order. Eastern Anatolian Journal of Science. 2023;9:10–15.
MLA
Mustafa, Nizami, and Hacı Ahmet Demir. “Fekete-Sezegö Problem for Certain Subclass of Analytic and Univalent Functions Associated With Cosine and Sine Functions of Complex Order”. Eastern Anatolian Journal of Science, vol. 9, no. 2, Dec. 2023, pp. 10-15, https://izlik.org/JA38TE83JZ.
Vancouver
1.Nizami Mustafa, Hacı Ahmet Demir. Fekete-Sezegö problem for certain subclass of analytic and univalent functions associated with cosine and sine functions of complex order. Eastern Anatolian Journal of Science [Internet]. 2023 Dec. 1;9(2):10-5. Available from: https://izlik.org/JA38TE83JZ