ON SPECIAL STRONG DIFFERENTIAL SUBORDINATIONS USING A NEW MULTIPLIER TRANSFORMATION AND RUSCHEWEYH DERIVATIVE
Main Article Content
Abstract
Â
Abstract: In this paper we have established several strong differential subordinations regarding the extended operator obtained as a linear combination of extended Ruscheweyh derivative and an extended new multiplier transformation. A certain subclass of analytic functions is introduced by means the new operator.
Downloads
Article Details
References
REFERENCES
J. A. Antonino and S. Romaguera, Strong differential subordination to Briot-Bouquet differential equations, J. Diff. Equ., 114(1994), 101-105.
Alina A. Lupas, On special strong differential subordinations using multiplier transformation, Appl. Math. Lett. , 25(2012), 624-630.
Alina A. Lupas, On special strong differential subordinations using a multiplier transformation and Ruscheweyh derivative, J. Adv. Math. Stud., 5(1) (2012), 59-70.
Alina A. Lupas, On special strong differential subordinations using a generalized Salagean operator and Ruscheweyh derivative, J. Concr. Appl. Math., (2012), In printing.
Alina A. Lupas, A note on special strong differential subordinations using generalized Salagean operator and Ruscheweyh derivative, submitted
Alina. A. Lupas, D. Breaz, A, A note on strong differential subordinations using Salagean operator and Ruscheweyh derivative, submitted
Alina A. Lupas, G. I. Oros and Gh. Oros, A note on special strong differential subordinations using multiplier transformation, J. Comput. Anal. Appl.,14 (2012), in printing.
Alina A. Lupas, G. I. Oros and Gh. Oros, A, On special strong differential subordinations using Salagean and Ruscheweyh derivative, J. Comput. Anal. Appl., 14 (2012) , in printing.
A. Catas, On certain class of p-valent functions defined by new multiplier transformations, Proceedings book of the international symposium on geometric function theory and applications, August, 20-24, 2007, TC Isambul Kultur Univ., Turkey,241-250.
G. I. Oros, On a new strong differential subordination, (to appear).
G. I. Oros and Gh. Oros, Strong differential subordination, Turk. J. Math., 33(2009), 249-257.
St. Ruscheweyh, New criteria for univalent functions, Proc. Amer. Math. Soc., 49(1975), 109-115.
S. R. Swamy, Inclusion properties of certain subclasses of analytic functions, Int. Math. Forum, 7(36) (2012), 1751-1760.
S. R. Swamy, A note on a subclass of analytic functions defined by the Ruscheweyh derivative and a new generalized multiplier transformation, J. Math. Comput. Sci., 2(4) (2012), 784-792.
S. R. Swamy, Subordination and superordination results for certain subclasses of analytic functions defined by the Ruscheweyh derivative and a new generalized multiplier transformation, submitted.
S. R. Swamy, Some strong differential subordination obtained using a new generalized multiplier transformation, submitted.