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Abstrakty
In the paper, we define classes of analytic functions, in terms of subordination. By using Jack's Lemma and the Briot-Bouquet differential subordination we obtain some inclusion relations for defined classes.
Czasopismo
Rocznik
Tom
Strony
39--46
Opis fizyczny
Bibliogr. 13 poz.
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autor
autor
- Institute of Mathematics, University of Rzeszów ul. Rejtana 16A, PL-35-310 Rzeszów, Poland, jdziok@univ.rzeszow.pl
Bibliografia
- [1] Cho, N. E; Srivastava, H. M: Argument estimates of certain analytic functions defined by a class of multiplier transformations, Math. Comput. Modelling 37 (2003), no. 1-2, 39-49.
- [2] Dziok, J.: Applications of the Jack Lemma. Acta Math, Hungar. 105(2004), 93-102.
- [3] Dziok, J.: On some applications of the Briot-Bouquet differential subordination, J. Math. Anal. Appl. 328(2007), 295-301.
- [4] Eenigenburg, P.J.; Miller, S. S.; Mocanu P. T.; Reade, O.M.: Second order differential inequalities in the complex plane, J. Math. Anal. Appl. 65(1978), 289-305.
- [5] Flett, T.M.: The dual of an inequality of Hardy and Littlewood and some related inequalities, J. Math. Anal. Appl. 38(1972), 746-765.
- [6] Hallenbeck, D.J.; Ruscheweyh, R.: Subordination by convex functions, Proc. Amer. Math. Soc. 52(1975), 191-195.
- [7] Jack, I. S.: Functions starlike and convex of order, J. London Math. Soc. 3 (1971), 469-474.
- [8] Jurasińska, R.; Stankiewicz, J.: Special subclasses of Caratheodory functions and their applications, Folia Sci. Univ. Techn. Resoviensis, Math. 10(1991), 37-45.
- [9] Liu, Jin-Lin; Srivastava, H. M.: Certain properties of the Dziok-Srivastava operator, Appl. Math. Comput. 159 (2004), 485-493.
- [10] Miller, S. S.; Mocanu, P. T.: Differential subordinations: theory and applications, Series on Monographs and Textbooks in Pure and Applied Mathematics, Vol. 225, Marcal Dekker, New York, 2000.
- [11] Salagean, G.S.: Subclasses of univalent functions, Lecture Notes in Math. Springer-Verlag 1013,(1983), 362-372.
- [12] Stankiewicz, J.: Some remarks of the classes R(A,B), Folia Sci. Univ. Techn. Resoviensis, 18(1995), 91-98.
- [13] Uralegaddi, B.A.; Somanatha, C.:Certain classes of univalent functions, In Current Topics in Analytic Function Theory. (Edited by H.M. Srivastava and S. Own), pp. 371-374, World Scientific, Singapore, (1992).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA7-0039-0014