Geodesic
Admissible classes of multivalent functions associated with an integral operator
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 73 (2019) no. 1.

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In this paper we investigate some applications of the differential subordination and superordination of classes of admissible functions associated with an integral operator. Additionally, differential sandwich-type results are obtained.
Keywords: Analytic function, superordination, sandwich-type, admissible class, integral operator 
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Seoudy, Tamer; Aouf, Mohamed. Admissible classes of multivalent functions associated with an integral operator. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 73 (2019) no. 1. http://geodesic.mathdoc.fr/item/AUM_2019_73_1_a3/

[1] Aghalary, R., Ali, R. M., Joshi, S. B., Ravichandran, V., Inequalities for analytic functions defined by certain linear operator, Internat. J. Math. Sci. 4 (2) (2005), 267–274.

[2] Ali, R. M., Ravichandran, V., Seenivasagan, N., Differential subordination and superodination of analytic functions defined by the multiplier transformation, Math. Inequal. Appl. 12 (1) (2009), 123–139.

[3] Aouf, M. K., Inequalities involving certain integral operator, J. Math. Inequal. 2 (2) (2008), 537–547.

[4] Aouf, M. K., Hossen, H. M., Lashin, A. Y., An application of certain integral operators, J. Math. Anal. Appl. 248 (2) (2000), 475–481.

[5] Aouf, M. K., Seoudy, T. M., Differential subordination and superordination of analytic functions defined by an integral operator, European J. Pure Appl. Math. 3 (1) (2010), 26–44.

[6] Aouf, M. K., Seoudy, T. M., Differential subordination and superordination of analytic functions defined by certain integral operator, Acta Univ. Apulensis 24 (2010), 211–229.

[7] Bulboaca, T., Differential Subordinations and Superordinations. Recent Results, House of Scientific Book Publ., Cluj-Napoca, 2005.

[8] Kim, Y. C., Srivastava, H. M., Inequalities involving certain families of integral and convolution operators, Math. Inequal. Appl. 7 (2) (2004), 227–234.

[9] Jung, T. B., Kim, Y. C., Srivastava, H. M., The Hardy space of analytic functions associated with certain one-parameter families of integral operators, J. Math. Anal. Appl. 176 (1993), 138–147.

[10] Miller, S. S., Mocanu, P. T., Differential Subordinations: Theory and Applications, Marcel Dekker, New York–Basel, 2000.

[11] Miller, S. S., Mocanu, P. T., Subordinants of differential superordinations, Complex Var. Theory Appl. 48 (10) (2003), 815–826.

[12] Shams, S., Kulkarni, S. R., Jahangir, Jay M., Subordination properties for p-valent functions defined by integral operators, Internat. J. Math. Math. Sci. Vol. 2006, Article ID 94572, 1–3.