THERMAL SCIENCE
International Scientific Journal
THE ENERGY OF COEFFICIENT INEQUALITIES FOR CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS DEFINED BY DENIZ-OZKAN DIFFERENTIAL OPERATOR
ABSTRACT
By means of the Deniz-Ozkan differential operator, we introduce and investigate a new subclass of analytic functions. The various results obtained here for this function class include coefficient bounds and Fekete-Szego inequality.
KEYWORDS
PAPER SUBMITTED: 1970-01-01
PAPER REVISED: 2025-02-13
PAPER ACCEPTED: 2025-04-25
PUBLISHED ONLINE: 2025-09-26
THERMAL SCIENCE YEAR
2025, VOLUME
29, ISSUE
Issue 4, PAGES [3023 - 3031]
- Silverman, H., Univalent Functions with Negative Coefficients, Proc. Amer. Math. Soc., 51 (1975), 1, pp. 109-116
- Ali, M. R., et al., Coefficient Bounds for p-Valent Functions, Appl. Math. Comput., 187 (2007), 1. pp. 35-46
- Owa, S., A Remark on Certain Classes of Analytic Functions, Math. Japonica, 28 (1983), pp. 15-20
- Altintas, O., Coefficients of Some Analytic Functions, Doga TU Mat. D., 13 (1989), pp. 43-48
- Kamali, M., Kadioglu, E., On the Coefficients of Certain Analytic Functions, Far East J. Math. Sci., 5 (1997), 2, pp. 169-176
- Boyd, A. V., Coefficient Estimates for Starlike Functions of Order α, Proceedings of the American Mathematical Society, 17 (1996), 5, pp. 1016-1018
- Pommerenke, Ch., On Meromorphic Starlike Functions, Pacific J. Math., 13 (1963), pp. 221-235
- Kaczmarski, J., On the Coefficients of Some Classes of Starlike Functions, Bulletin DeL academie Polonaise Des Sciences Serie des Sciences Math. Astr. et Phys., 17 (1969), pp. 495-501
- Deniz, E., Ozkan, Y., Subclasses of Analytic Functions Defined by a New Differential Operator, Acta Uni. Apul, 40 (2014), pp. 85-95
- Deniz, E., Orhan, H., The Fekete Szego Problem for a Generalized Subclass of Analytic Functions, Kyungpook Math. J., 50 (2010), 1, pp. 37-47
- Salagean, G. S., Subclasses of Univalent Functions, Complex Analysis - Proceedings, 5th Rom.-Finn. Semin., Bucharest 1981, Part 1, Lect. Notes Math. 1013, pp. 362-372, 1983
- Keogh, F. R., Merkes, E. P., A Coefficient Inequality for Certain Classes of Analytic Functions, Proceedings of the American Mathematical Society, 20 (1969), 1, pp. 8-12
- Nehari, Z., Conformal Mapping, New York, 1952