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http://dx.doi.org/10.7858/eamj.2012.28.3.321

SANDWICH-TYPE THEOREMS FOR A CLASS OF INTEGRAL OPERATORS ASSOCIATED WITH MEROMORPHIC FUNCTIONS  

Cho, Nak-Eun (Department of Applied Mathematics, Pukyong National University)
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Abstract
The purpose of the present paper is to investigate some subordination and superordination preserving properties of certain integral operators de ned on the space of meromorphic functions in the puncture open unit disk. The sandwich-type theorems for these integral operators are also presented.
Keywords
Meromorphic functions; differential subordination; differential superordination; Sandwich-type theorems; integral operators;
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1 Ch. Pommerenke, Univalent Functions, Vanderhoeck and Ruprecht, Gottingen, 1975.
2 N. E. Cho and H. M. Srivastava, A class of nonlinear integral operators preserving subordination and superordination, Integral Transforms Spec. Funct. 18 (2007), 95-107.   DOI   ScienceOn
3 A. Dernek, Certain classes of meromorphic functions, Ann. Univ. Mariae Curie-Sklodowska Sect. A 42 (1988), 1-8.
4 S. P. Dwivedi, G. P. Bhargava and S. K. Shukla, On some classes of meromorphic univalent functions, Rev. Roumaine Math. Pures Appl. 25 (1980), 209-215.
5 R. M. Goel and N. S. Sohi, On a class of meromorphic functions, Glas. Mat. 17(37) (1981), 19-28.
6 D. J. Hallenbeck and T. H. MacGregor, Linear problems and convexity techniques in geometric function theory, Pitman Publishing Limited, London, 1984.
7 W. Kaplan, Close-to-convex schlicht functions, Michigan Math. J. 2 (1952), 169-185.
8 S. S. Miller and P. T. Mocanu, Differential subordinations and univalent functions, Michigan Math. J. 28 (1981), 157-171.   DOI
9 S. S. Miller and P. T. Mocanu, Univalent solutions of Briot-Bouquet differential equations, J. Different. Equations 56 (1985), 297-309.   DOI
10 S. S. Miller and P. T. Mocanu, Differential Subordinations, Theory and Applications, Marcel Dekker, Inc., New York, Basel, 2000.
11 S. S. Miller and P. T. Mocanu, Subordinants of differential superordinations, Complex Var. Theory Appl. 48 (2003), 815-826.   DOI   ScienceOn
12 S. S. Miller, P. T. Mocanu and M. O. Reade, Subordination-preserving integral operators, Trans. Amer. Math. Soc. 283 (1984), 605-615.   DOI   ScienceOn
13 S. Owa and H. M. Srivastava, Some subordination theorems involving a certain family of integral operators, Integral Transforms Spec. Funct. 15 (2004), 445-454.   DOI   ScienceOn
14 T. Bulboaca, A class of superordination-preserving integral operators, Indag. Math. N. S. 13 (2002), 301-311.   DOI   ScienceOn
15 S. K. Bajpai, A note on a class of meromorphic univalent functions, Rev. Roumaine Math. Pures Appl. 22 (1977), 295-297.
16 S. S. Bhoosnurmath and S. R. Swamy, Certain integrals for classes of univalent meromorphic functions, Ganita 44 (1993), 19-25.