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.
@article{bwmeta1.element.ojs-doi-10_17951_a_2012_66_2_57-62,
author = {S. P. Goyal and Pranay Goswami},
title = {Majorization for certain classes of meromorphic functions defined by integral operator},
journal = {Annales Universitatis Mariae Curie-Sk\l odowska, sectio A -- Mathematica},
volume = {66},
year = {2012},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2012_66_2_57-62}
}
S. P. Goyal; Pranay Goswami. Majorization for certain classes of meromorphic functions defined by integral operator. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 66 (2012) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2012_66_2_57-62/
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.