Majorization for certain classes of meromorphic functions defined by integral operator

S. P. Goyal, Pranay Goswami

Abstract


Here we investigate a majorization problem involving starlike meromorphic functions of complex order belonging to a certain subclass of meromorphic univalent functions defined by an integral operator introduced recently by Lashin.

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References


Altintas, O., Ozkan, O., Srivastava, H. M., Majorization by starlike functions of complex order, Complex Variables Theory Appl. 46 (2001), 207-218.

Goyal, S. P., Goswami, P., Majorization for certain classes of analytic functionsdefined by fractional derivatives, Appl. Math. Lett. 22 (12) (2009), 1855-1858.

Goyal, S. P., Bansal S. K., Goswami, P., Majorization for certain classes of analytic functions defined by linear operator using differential subordination, J. Appl. Math. Stat. Inform. 6 (2) (2010), 45-50.

Goswami, P., Wang, Z.-G., Majorization for certain classes of analytic functions, Acta Univ. Apulensis Math. Inform. 21 (2009), 97-104.

Goswami, P., Aouf, M. K., Majorization properties for certain classes of analytic functions using the Salagean operator, Appl. Math. Lett. 23 (11) (2010), 1351-1354.

Goswami, P., Sharma, B., Bulboaca, T., Majorization for certain classes of analytic functions using multiplier transformation, Appl. Math. Lett. 23 (10) (2010), 633-637.

Jung, I. B., Kim, Y. C., Srivastava, H. M., The Hardy space of analytic functions associated with certain one-parameter families of integral operator, J. Math. Anal. Appl. 176 (1) (1993), 138-147.

Lashin, A. Y., On certain subclasses of meromorphic functions associated with certain integral operators, Comput. Math. Appl., 59 (1) (2010), 524-531.

MacGreogor, T. H., Majorization by univalent functions, Duke Math. J. 34 (1967), 95-102.

Nehari, Z., Conformal Mapping, MacGraw-Hill Book Company, New York, Toronto and London, 1955.




DOI: http://dx.doi.org/10.2478/v10062-012-0013-1
Date of publication: 2016-07-25 12:22:16
Date of submission: 2016-07-25 11:40:55


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