In this investigation, we obtain some applications of first order differential subordination and superordination results involving Dziok-Srivastava operator and other linear operators for certain normalized analytic functions. Some of our results improve previous results.
@article{bwmeta1.element.doi-10_2478_v10062-008-0002-6,
author = {M. Aouf and A. Mostafa and R. El-Ashwah},
title = {Differential sandwich theorems for analytic functions defined by some linear operators},
journal = {Annales UMCS, Mathematica},
volume = {62},
year = {2008},
pages = {15-29},
zbl = {1180.30006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10062-008-0002-6}
}
M. Aouf; A. Mostafa; R. El-Ashwah. Differential sandwich theorems for analytic functions defined by some linear operators. Annales UMCS, Mathematica, Tome 62 (2008) pp. 15-29. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10062-008-0002-6/
Ali, R. M., Ravichandran, V. and Subramanian, K. G., Differential sandwich theorems for certain analytic functions, Far East J. Math. Sci. 15 (2004), no. 1, 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., Classes of first order differential superordinations, Demonstratio Math. 35 (2002), no. 2, 287-292. | Zbl 1010.30020
Bulboacă, T., Differential Subordinations and Superordinations, Recent Results, House of Scientific Book Publ., Cluj-Napoca, 2005.
Bulboacă, T., A class of superordination-preserving integral operators, Indag. Math. (N. S.) 13 (2002), no. 3, 301-311.[Crossref] | Zbl 1019.30023
Carlson, B. C. and Shaffer, D. B., Starlike and prestarlike hypergeometric functions, SIAM J. Math. Anal. 15 (1984), 737-745.[Crossref] | Zbl 0567.30009
Cho, N. E., Kwon, O. H. and Srivastava, H. M., Inclusion 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
Dziok, J., Srivastava, H. M., Classes of analytic functions associated with the generalized hypergeometric function, Appl. Math. Comput. 103 (1999), 1-13.[Crossref][WoS] | Zbl 0937.30010
Dziok, J., Srivastava, H. M., Certain subclasses of analytic functions associated with the generalized hypergeometric function, Integral Transform. Spec. Funct. 14 (2003), 7-18.[Crossref] | Zbl 1040.30003
Libera, R. J., Some classes of regular univalent functions, Proc. Amer. Math. Soc. 16 (1965), 755-658.[Crossref] | Zbl 0158.07702
Miller, S. S., Mocanu, P. T., Differential subordinations and univalent functions, Michigan Math. J. 28 (1981), no. 2, 157-171. | Zbl 0439.30015
Miller, S. S., Mocanu, P. T., Differential Subordination. Theory and Applications, Marcel Dekker Inc., New York, 2000.
Miller, S. S., Mocanu, P. T., Subordinates of differential superordinations, Complex Variables 48 (2003), no. 10, 815-826. | Zbl 1039.30011
Ruscheweyh, St., New criteria for univalent functions, Proc. Amer. Math. Soc. 49 (1975), 109-115.[Crossref] | Zbl 0303.30006
Shanmugam, T. N., Ravichandran, V. and Sivasubramanian, S., Differential sandwich theorems for some subclasses of analytic functions, Aust. J. Math. Anal. Appl. 3 (2006), no. 1, Art. 8, 11 pp. (electronic). | Zbl 1091.30019
Srivastava, H. M., Karlsson, P. W., Multiple Gaussian Hypergeometric Series, Ellis Horwood Ltd., Chichester, Halsted Press (John Wiley & Sons, Inc.), New York, 1985. | Zbl 0552.33001
Tuneski, N., On certain sufficient conditions for starlikeness, Int. J. Math. Math. Sci. 23 (2000), no. 8, 521-527.[Crossref] | Zbl 0954.30003