On a certain subclass of analytic univalent function defined by using Komatu integral operator
Keywords:
Analytic function, Komatu operator, strongly starlike function, strongly convex function.Abstract
In this paper a certain class of analytic univalent functions in the open unit disk is defined. Some interesting results including inclusion relations argument properties and the eect of the certain integral operator to the elements of this class are investigated.
Mathematics Subject Classification (2010): 30C45.
References
Eenigenburg, P., Miller, S.S., Read, M.O., On a Briot-Bouquet differetial subordination, Gen. Inequal., 13(1983), no. 3, 339-348.
Flett, T.M., The dual of an inequality of Hardy and Littlewood and some related inequalities, J. Math. Anal. Appl., 38(1972), 746-765.
Jung, I.B., Kim, C., Srivastava, H.M., The Hardy space of analytic functions associated with certain one-parameter families of integral operator, J. Math. Anal. Appl., 176(1993), 138-147.
Komatu, Y., On analytic prolongation of family of operators, Mathematica (Cluj), 55(1990), no. 32, 141-145.
Miller, S.S., Mocanu, P.T., Differential subordintions and univalent functions, Michigan Math. J., 32(1985), 157-172.
Miller, S.S., Mocanu, P.T., On some classes of first order differential subordinations, Michigan Math. J., 32(1985), 185-195.
Nunokawa, M., On the order of strangly starlikeness of strongly convex functions, Proc. Japan Acad. Ser. A Math. Sci., 69(1993), 234-237.
Robertson, M.S., Certian class of starlike function, Michigan Math. J., 32(1985), 135-140.
Salagean, G.S., Subclasses of univalent functions, Springer-Verlag Heideberg, Lecture Notes in Math., 1013(1983), 362-372.
Uralegadi, B.A., Somantha, C., Certian classes of univalent function, In current topic in analytic function theory, H.M. Srivastava and S. Owa (eds.), World Scientific, Singapore., 1992, 371-374.
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