Subordinations and superordinations using the Dziok-Srivastava linear operator

• Autorzy: Oros G. I. , Oros O.
• Konferencja: Informatics and Related Fields / XIV International Conference on Mathematics (XIV ; 7-11.11.2008 ; Ustrzyki Dolne, Polska)
• Języki publikacji: EN

Abstrakty

EN

By using the properties of the Dziok-Srivastava linear operator we obtain differential subordinations and superordinations by using functions from class A. A sandwich-type result is also given. Theorem 1 from the paper gives sufficient conditions such that a function f ∈ A to be starlike, convex and α-convex.

Słowa kluczowe

EN

univalent function; starlike function; convex function; differential subordination; differential superordination; Dziok-Srivastava linear operator

PL

funkcja jednolistna; funkcja gwiaździsta; funkcja wypukła; operator liniowy

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2009
• Tom: Vol. 31
• Strony: 99--106
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Oros G. I.

autor

Oros O.

• Department of Mathematics University of Oradea Str. Universitatii, No.1 410087 Oradea, Romania,

Bibliografia

• [1] J. Dziok, H.M. Srivastava, Classes of analytic functions associated with the generalized hypergeometric function, Appl. Math. Comput., 103(1999), pp. 1-13.
• [2] S.S. Miller, P.T. Mocanu, Second order differential inequalities in the complex plane, J. Math. Anal. Appl., 65(1978), 298-305.
• [3] S.S. Miller, P.T. Mocanu, Differential subordinations and univalent functions, Michigan Math. J., 28(1981), 157-171.
• [4] S.S. Miller, P.T. Mocanu, Differential subordinations. Theory and applications, Pure and Applied Mathematics, Marcel Dekker, Inc., New York, 2000.
• [5] S.S. Miller, P.T. Mocanu, Subordinations of differential superordinations, Complex Variables, 48, 10(2003), pp. 815-826.
• [6] S.S. Miller, P.T. Mocanu, Briot-Bouquet differential superordinations and sandwich theorems, J. Math. Anal. Appl., 329, No.1(2007), pp. 327-335.