On a certain subclass of analytic functions defined by Sălăgean and Ruscheweyh operators

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

Abstrakty

EN

In the present paper we define a new operator using the Salagean and Ruscheweyh operators. Denote by L(m)(α) the operator given by [wzór], where R(m)f(z) denote the Ruscheweyh derivative, S(m)f(z) is the Salagean operator and [wzór] is the class of normalized analytic functions. A certain subclass, denoted by [wzór], of analytic functions in the open unit disc is introduced by means of the new operator. By making use of the concept of differential subordination we will derive various properties and characteristics of the class [wzór]. Also, several differential subordinations are established regardind the operator L(m)(α).

Słowa kluczowe

EN

differential subordination; convex function; best dominant; differential operator

PL

funkcja wypukła; operator różniczkowy

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2009
• Tom: Vol. 31
• Strony: 67--76
• Opis fizyczny: Bibliogr. 8 poz., rys., tab., wykr.

Twórcy

autor

Lupas A.

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

Bibliografia

• [1] A. Alb Lupaş, Some differential subordinations using Salagean and Ruscheweyh operators, Proceedings of International Conference on Fundamental Sciences, ICFS 2007, Oradea, 58-61.
• [2] A. Alb Lupaş, On special differential subordinations using Salagean and Ruscheweyh operators, submitted.
• [3] A. Cataş, On univalent functions defined by a generalized Salagean operator, Studia Univ. Babes-Bolyai Math, Volume LIII, Number 2(2008), 29-34.
• [4] A. Cataş A note on subclasses of univalent functions defined by a generalized Salaagean operator, ROMAI Journal, vol.3, No.1, 2007, 47-52.
• [5] D.J. Hallenbeck, St. Ruscheweyh, Subordination by convex functions, Proc. Amer. Math. Soc. 52(1975), 191-195.
• [6] S.S. Miller, P.T. Mocanu, On some classes of first-order differential subordinations, Michigan Math. J. 32(1985), no.2, 185-195.
• [7] St. Ruscheweyh, New criteria for univalent functions, Proc. Amet. Math. Soc., 49(1975), 109-115.
• [8] G. St. Salagean, Subclasses of univalent functions, Lecture Notes in Math., Springer Verlag, Berlin, 1013(1983), 362-372.