Certain differential subordinations using a generalized Salagean operator and Ruscheweyh operator

• Autorzy: Lupas A. A.
• Języki publikacji: EN

Abstrakty

EN

In the present paper we define a new operator using the generalized Salagean operator and Ruscheweyh operator. Denote by [formula/wzór] the Hadamard product of the generalized Salagean operator [formula/wzór] and Ruscheweyh operator R(n), given by [fomula/wzór] is the class of normalized analytic functions with A1 = A. We study some differential subordinations regarding the operator [formula/wzór].

Słowa kluczowe

EN

differential subordination; convex function; best dominant; differential operator; convolution product

PL

podrzędność; operator różniczkowy; splot funkcji; iloczyn Hadamarda; splot Hadamarda

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2010
• Tom: Vol. 33
• Strony: 67--72
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Lupas A. A.

• Department of Mathematics and Computer Science, University of Oradea, str. Universitatii nr 1, 410087 Oradea, Romania,

Bibliografia

• [1] A. Alb Lupaş, Certain differential subordinations using Sălăgean and Ruscheweyh operators, Mathematica (Cluj), Proceedings of International Conference on Complex Analysis and Related Topics, The 11th Romanian-Finnish Seminar, Alba Iulia, 2008 (to appear).
• [2] F.M. Al-Oboudi, On univalent functions defined by a generalized Sălăgean operator, Ind. J. Math. Math. Sci., 2004, no.25-28, 1429-1436.
• [3] S.S. Miller, P.T. Mocanu, Differential Subordinations. Theory and Applications, Marcel Dekker Inc., New York, Basel, 2000.
• [4] St. Ruscheweyh, New criteria for univalent functions, Proc. Amet. Math. Soc., 49(1975), 109-115.
• [5] G. St. Sălăgean, Subclasses of univalent functions, Lecture Notes in Math., Springer Verlag, Berlin, 1013(1983), 362-372.