Geodesic
Applications of the integral operator to the class of meromorphic functions
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2009), pp. 37-44 
Camelia Mădălina Bălăeţi. Applications of the integral operator to the class of meromorphic functions. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2009), pp. 37-44. http://geodesic.mathdoc.fr/item/BASM_2009_1_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

By using the Sălăgean integral operator $I^nf(z)$, $z\in U$, we introduce a class of holomorphic functions denoted by $\Sigma_k(\alpha,n)$ and we obtain an inclusion relation related to this class and some differential subordinations.

[1] Hallenbeck D. J., Ruschweyh S., “Subordination by convex functions”, Proc. Amer. Soc., 52 (1975), 191–195 | DOI | MR | Zbl

[2] Miller S. S., Mocanu P. T., Differential Subordinations. Theory and Applications, Marcel Dekker Inc., New York–Basel, 2000 | MR

[3] Miller S. S., Mocanu P. T., “On some classes of first-order differential subordinations”, Michigan Math. J., 32 (1985), 185–195 | DOI | MR | Zbl

[4] Oros G. I., “A new application of Sălăgean differential operator at the class of meromorphic functions”, An. Univ. Oradea Fasc. Mat., X (2004), 123–132 | MR

[5] Sălăgean G. St., “Subclasses of univalent functions”, Lecture Notes in Math., 1013, Springer Verlag, 1983, 362–372 | DOI | MR