Some General Properties for New Subclasses Defined by a Generalized Differential Operator
DOI:
https://doi.org/10.65405/z6vzce74Keywords:
analytic functions, differential operator, Hadamard product, starlike function, convex function and growth theorems.Abstract
in this paper, we define a new generalized multi- parameter differential operator. This operator generalize many well-known operators studied earlier by famous authors. Also, new subclasses of starlike and convex functions will be introduced based on the new operator. Further, some general properties for the new subclasses will be studied.
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1. Amer. A. A and M. Darus.Mand Nagat Muftah Alabbar.Properties For Generalized Starlike and Convex Functions of Order ????. FEZZAN UNIVERSITY SCIENTIFIC JOURNAL VOL.3 NO. 1 2024.
2. Al-Oboudi. F.M.2004. On univalent functions defined by a generalized Sălăgean operator. International Journal of Mathematics and Mathematical Sciences . (27): p. 1429-1436.
3. Adel Salim Tayyah, Sarem H. Hadi , Abdullah Alatawi, Abdullah, Muhammad Abbas and Ovidiu Bagdasar. Sharp Functional Inequalities for Starlike and Convex Functions Defined via a Single-Lobed Elliptic Domain Mathematics 2025, 13(21), 3367; https://doi.org/10.3390/math13213367.
4.Maslina Darus and Rabha W. Ibrahim. ON CLASSES OF ANALYTIC FUNCTIONSCONTAINING GENERALIZATION OF INTEGRALOPERATOR. J. Indones. Math. Soc. Vol. 17, No. 1 (2011), pp. 29–38.
5. Robertos, M. S. 1936. On theory of univalent functions, Annals Mathematics 37:374-408.
6. Ruscheweyh, S. 1975. New criteria for univalent functions. Proceeding American Mathematics Society 49:109-115.
7. Salagean, G. S. 1983. Subclasses of univalent functions. in Complex Analysis—
Fifth Romanian-Finnish Seminar. Springer Berlin Germany. Part 1 (Bucharest, 1981) of lecture note in mathematics 1013:362-372.
8. Krichene, E., Hmadi, M. S. A., & Al-Gajamiya, S. K. (2026). A Fair Comparative Framework for Time-Series Forecasting Using ARIMAX, XGBoost, and LSTM: Evidence from Libya. Al-Farooq Journal of Sciences, 2(3), 69-85.











