Differential Subordination and superordination Results Associated with Generalized Derivative operator
DOI:
https://doi.org/10.37376/1571-000-027-003الكلمات المفتاحية:
Analytic function، Differential subordination، Superordination.الملخص
Abstract, Using the methods of differential subordination and superordination, sufficient conditions are determined on the generalized derivative operator for analytic functions in the open unit disc to obtain, these results are obtained by investigating appropriate classes of admissible functions. New differential sandwich-type results are also obtained for the generalized derivative. Some of the results established in this paper would provide extensions of those given in earlier works.
التنزيلات
المراجع
Reference
Nagat.M.Mustafa, and maslina Darus.(2012) The Fekete-Szeg¨o problem for starlike functions of order associated with generalised derivative operator. AIP Conf. Proc) 15(22): 938-944.
St. Ruscheweyh, (1975), New criteria for univalent functions, Proc. Amer. Math.Soc. )49( 109-115.
Salagean, G. S. (1983) Subclasses of univalent functions. Lecture Notes in Mathematics 1013: 362–372.
F.M. AL-Oboudi, (2004), On univalent functions defined by a generalized Salagean Operator, int, J. Math. Math. Sci. 27 1429-1436.
M. Darus and K. Al-Shaqsi, (2008), Differential subordination with generalized derivative operator, Int. J. Comp. Math. Sci. 2(2(75-78.
Catas, A.. ( 2009) On a certain differential sandwich theorem a ssociated with a new generalized derivative operator. General Mathematics 17(4): 83–95.
N. E. Cho and T. H. Kim, (2003), Multiplier transformations and strongly close -to-convex functions, Bull. Korean Math. Soc. 40(3) 399-410.
S. Miller and P. T. Mocanu,(2003) Subordination of differential superordina tions, Complex variables Theory Appl. 48(10), 815-826.
S. S. Miller and P. T. Mocanu, ) 2000 ( Differential subordinations: Theory and Applications, Marcel Dekker, Inc., New York and Bassel.
Ali RM,V. Ravichandran and N. Seenivasagan : Differential subordination and superordination of analytic functions defined by the multiplier transformation. Mathematical Inequalities & Applications,12(1):123–139.
Waggas Galib Atshani and Assra Abdul Jaleel , (2014), Some results of order differential Subordination for fractional integral of Dziok –Srivastava operator ,Analele Universitat¸ Oradea Fasc. Matematica, Tom XXI Issue No. 1, 145–152
التنزيلات
منشور
كيفية الاقتباس
إصدار
القسم
الرخصة
الحقوق الفكرية (c) 2024 مجلة العلوم والدراسات الإنسانية - كلية الآداب والعلوم – المرج
![Creative Commons License](http://i.creativecommons.org/l/by-nc-nd/4.0/88x31.png)
هذا العمل مرخص بموجب Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.