Some differential superordination results using a generalized Sălăgean operator and Ruscheweyh operator

Authors

  • Loriana ANDREI Department of Mathematics and Computer Science University of Oradea 1 Universitatii Street, 410087 Oradea, Romania e-mail: lori_andrei@yahoo.com https://orcid.org/0000-0002-6974-3430

Keywords:

Differential superordination, convex function, best subordinant, differential operator, convolution product.

Abstract

In the present paper we establish several differential superordinations regarding the operator DRm defined by using Ruscheweyh derivative Rmf (z) and the generalized Sălăgean operator...

A number of interesting consequences of some of these superordination results are discussed. Relevant connections of some of the new results obtained in this paper with those in earlier works are also provided.

Mathematics Subject Classification (2010): 30C45, 30A20, 34A40.

References

Alb Lupas, A., Certain differential subordinations using a generalized Salagean operator and Ruscheweyh operator I, Journal of Mathematics and Applications, 33(2010), 67-72.

Alb Lupas, A., Certain differential superordinations using a generalized Salagean and Ruscheweyh operators, Acta Universitatis Apulensis, 25(2011), 31-40.

Andrei, L., differential subordination results using a generalized Salagean operator and Ruscheweyh operator, Acta Universitatis Apulensis, 37(2014), no. 2, 45-59.

Andrei, L., differential superordination results using a generalized Salagean operator and Ruscheweyh operator, Analele Universitatii din Oradea, Seria Matematica, 21(2014), no. 2, 155-162.

Al-Oboudi, F.M., On univalent functions defined by a generalized Salagean operator, Ind. J. Math. Math. Sci., 27(2004), 1429-1436.

Miller, S.S., Mocanu,P.T., Subordinants of differential Superordinations, Complex Variables, 48(2003), no. 10, 815-826.

Ruscheweyh, S., New criteria for univalent functions, Proc. Amet. Math. Soc., 49(1975), 109-115.

Salagean, G.S., Subclasses of univalent functions, Lecture Notes in Math., Springer Verlag, Berlin, 1013(1983), 362-372.

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Published

2015-03-30

How to Cite

ANDREI, L. (2015). Some differential superordination results using a generalized Sălăgean operator and Ruscheweyh operator. Studia Universitatis Babeș-Bolyai Mathematica, 60(1), 75–89. Retrieved from https://studia.reviste.ubbcluj.ro/index.php/subbmathematica/article/view/5675

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