Two New Classes of Analytic Functions Defined by Strong Differential Subordinations and Superordinations

[1] A. A. Lupaş, A note on special strong differential superordinations using multiplier transformation, Journal of Computational Analysis and Applications, vol. 17, no. 4, 2014, 746-751.Search in Google Scholar

[2] F. M. Al-Oboudi, On univalent functions defined by a generalized Sălăgean operator, Int. J. Math. Math. Sci., vol. 27, 2004, 1429-1436.10.1155/S0161171204108090Search in Google Scholar

[3] A. Amourah, M. Darus, Some properties of a new class of univalent functions involving a new generalized differential operator with negative coefficients, Indian J. Sci. Tech., vol. 9, no. 36, 2016, 1-7.10.17485/ijst/2016/v9i36/97738Search in Google Scholar

[4] N. E. Cho, T. H. Kim, Multiplier transformations and strongly close-to-convex functions, Bull. Korean Math. Soc., vol. 40, no. 3, 2003, 399-410.10.4134/BKMS.2003.40.3.399Search in Google Scholar

[5] N. E. Cho, O. S. Kwon, H. M. Srivastava, Strong differential subordination and superordination for multivalently meromorphic functions involving the Liu- Srivastava operator, Integral transforms Spec. Funct., vol. 21, no. 8, 2010, 589-601.10.1080/10652460903494751Search in Google Scholar

[6] M. Darus, R. W. Ibrahim, On subclasses for generalized operators of complex order, Far East J. Math. Sci., vol. 33, no. 3, 2009, 299-308.Search in Google Scholar

[7] M. P. Jeyaraman, T. K. Suresh, Strong differential subordination and superordination of analytic functions, J. Math. Anal. Appl., vol. 385, no. 2, 2012, 854-864.10.1016/j.jmaa.2011.07.016Search in Google Scholar

[8] S. S. Miller, P. T. Mocanu, Differential Subordinations. Theory and Applications, Series on Monographs and Textbooks in Pure and Applied Mathematics, vol. 225, Marcel Dekker Inc., New York, Basel, 2000.Search in Google Scholar

[9] G. I. Oros, Strong differential superordination, Acta Universitatis Apulensis, vol. 19, 2009, 101-106.Search in Google Scholar

[10] G. St. Sălăgean, Subclasses of univalent functions, Lecture Notes in Math., Springer Verlag, Berlin, vol. 1013, 1983, 362-372.10.1007/BFb0066543Search in Google Scholar

[11] A. K. Wanas, A. A. Lupaş, On a new strong differential Subordinations and superordinations of analytic functions involving the generalized differential operator, Int. J. Pure Appl. Math., vol. 116, no. 3, 2017, 571-579.Search in Google Scholar

[12] A. K. Wanas, A. H. Majeed, New strong differential subordinations and superordinations of symmetric analytic functions, Int. J. Math. Anal., vol. 11, no. 11, 2017, 543-549.10.12988/ijma.2017.7469Search in Google Scholar