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Differential Subordination and Superordination of Analytic Functions Defined by an Integral Operator

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Abstract (2. Language): 
Differential subordination and superordination results are obtained for analytic functions in the open unit disk which are associated with the integral operator. These results are obtained by investigating appropriate classes of admissible functions. Sandwich-type results are also obtained. Some of the results established in this paper would provide extensions of those given in earlier works. 2000 Mathematics Subject Classifications: 30C45 Key Words and Phrases: Analytic function, integral operator, Hadamard product, differential subordination, superordination.
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REFERENCES

References: 

[1] R. Aghalary, R. M. Ali, S. B. Joshi and V. Ravichandran, Inequalities for analytic functions
defined by certain linear operator, Internat. J. Math. Sci, 4(2005), no.2, 267–274.
[2] R. M. Ali, V. Ravichandran and N. Seenivasagan, Differential subordination and superodination
of analytic functions defined by the multiplier transformation, Math. Inequal.
Appl.12(2009), no.1,123-139.
[3] M. K. Aouf, Inequalities involving certain integral operator, J. Math. Inequal. 2(2008),
no.2, 537-547.
[4] M. K. Aouf, H.M. Hossen and A. Y. Lashin, An application of certain integral operators,
J. Math. Anal. Appl. 248(2000), no. 2, 475–481.
[5] T. B. Jung, Y. C. Kim and H. M. Srivastava,The Hardy space of analytic functions associated
with certain one-parameter families of integral operators, J. Math. Anal. Appl.,
176(1993), 138-147.
[6] Y. C. Kim and H. M. Srivastava, Inequalities involving certain families of integral and
convolution operators, Math. Inequal. Appl. 7(2004), no. 2, 227–234.
[7] J.-L. Liu and S. Owa, Properties of certain integral operators, Internat. J. Math. Math.
Sci., 3(2004), no. 1, 69-75.
[8] S. S. Miller and P. T. Mocanu, Differential Subordinations: Theory and Applications,
Series on Monographs and Textbooks in Pure and AppliedMathematics, Vol. 225,Marcel
Dekker, New York and Basel, 2000.
[9] S. Miller and P. T. Mocanu, Subordinants of differential superordinations, Complex Variables
Theory Appl. 48(2003), no.10, 815–826.

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