By making use of Cho-Kwon-Srivastava operator, we obtain some subordinations and superordinations results for certain normalized analytic functions.
@article{bwmeta1.element.doi-10_2478_v10062-009-0002-1, author = {Mohamed Aouf and Rabha El-Ashwah}, title = {Differential sandwich theorems for analytic functions defined by Cho-Kwon-Srivastava operator}, journal = {Annales UMCS, Mathematica}, volume = {63}, year = {2009}, pages = {17-27}, zbl = {1190.30011}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10062-009-0002-1} }
Mohamed Aouf; Rabha El-Ashwah. Differential sandwich theorems for analytic functions defined by Cho-Kwon-Srivastava operator. Annales UMCS, Mathematica, Tome 63 (2009) pp. 17-27. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10062-009-0002-1/
Ali, R. M., Ravichandran, V., Hussain Khan, M. and Subramanian, K. G., Differential sandwich theorems for certain analytic functions, Far East J. Math. Sci. 15, no. 1 (2005), 87-94. | Zbl 1074.30022
Bernardi, S. D., Convex and starlike univalent functions, Trans. Amer. Math. Soc. 135 (1969), 429-446. | Zbl 0172.09703
Bulboacă, T., A class of first-order differential superordination, Demonstratio Math. 35, no. 2 (2002), 287-292. | Zbl 1010.30020
Bulboacă, T., Differential Subordinations and Superordinations, Recent Results, House of Scientific Book Publ., Cluj-Napoca, 2005.
Cho, N. E., Kwon, O. S. and Srivastava, H. M., Inclusion relationships and argument properties for certain subclasses of multivalent functions associated with a family of linear operators, J. Math. Anal. Appl. 292 (2004), 470-483. | Zbl 1059.30006
Choi, J. H., Saigo, M. and Srivastava, H. M., Some inclusion properties of a certain family of integral operators, J. Math. Anal. Appl. 276 (2002), 432-445. | Zbl 1035.30004
Miller, S. S., Mocanu, P. T., Differential Subordination Theory and Applications, Marcel Dekker, New York, 2000.
Miller, S. S., Mocanu, P. T., Subordinant of differential superordinations, Complex Var. Theory Appl. 48, no. 10 (2003), 815-826. | Zbl 1039.30011
Murugusundaramoorthy, G., Magesh, N., Differential subordinations and superordinations for analytic functions defined by Dziok-Srivastava linear operator, JIPAM. J. Inequal. Pure Appl. Math. 7, no. 4 (2006), Art. 152, 9 pp. | Zbl 1131.30315
Murugusundaramoorthy, G., Magesh, N., Differential sandwich theorem for analytic functions defined by Hadamard product, Ann. Univ. Mariae Curie-Skłodowska Sect. A 61 (2007), 117-127.
Noor, K. I., Noor, M. A., On integral operators, J. Math. Anal. Appl., 238 (1999), 341-352. | Zbl 0934.30007
Shanmugam, T. N., Ravichandran, V. and Sivasubramanian, S., Differential sandwich theorems for same subclasses of analytic functions, Aust. J. Math. Anal. Appl. 3, no. 1 (2006), Art. 8, 11 pp. | Zbl 1091.30019