Majorization for certain classes of meromorphic functions defined by integral operator
S. P. Goyal ; Pranay Goswami
Annales UMCS, Mathematica, Tome 66 (2012), p. 57-62 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:268150 
@article{bwmeta1.element.doi-10_2478_v10062-012-0013-1,
     author = {S. P. Goyal and Pranay Goswami},
     title = {Majorization for certain classes of meromorphic functions defined by integral operator},
     journal = {Annales UMCS, Mathematica},
     volume = {66},
     year = {2012},
     pages = {57-62},
     zbl = {1295.30034},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10062-012-0013-1}
}

S. P. Goyal; Pranay Goswami. Majorization for certain classes of meromorphic functions defined by integral operator. Annales UMCS, Mathematica, Tome 66 (2012) pp. 57-62. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10062-012-0013-1/

[1] Altintaş, O., Özkan, Ö., Srivastava, H. M., Majorization by starlike functions ofcomplex order, Complex Variables Theory Appl. 46 (2001), 207-218. | Zbl 1022.30016

[2] Goyal, S. P., Goswami, P., Majorization for certain classes of analytic functionsdefined by fractional derivatives, Appl. Math. Lett. 22 (12) (2009), 1855-1858.[WoS] | Zbl 1182.30013

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

[4] Goswami, P., Wang, Z.-G., Majorization for certain classes of analytic functions, Acta Univ. Apulensis Math. Inform. 21 (2009), 97-104. | Zbl 1212.30046

[5] Goswami, P., Aouf, M. K., Majorization properties for certain classes of analyticfunctions using the Sălăgean operator, Appl. Math. Lett. 23 (11) (2010), 1351-1354.[WoS] | Zbl 1201.30014

[6] Goswami, P., Sharma, B., Bulboacă, T., Majorization for certain classes of analyticfunctions using multiplier transformation, Appl. Math. Lett. 23 (10) (2010), 633-637.[WoS] | Zbl 1188.30013

[7] Jung, I. B., Kim, Y. C., Srivastava, H. M., The Hardy space of analytic functionsassociated with certain one-parameter families of integral operator, J. Math. Anal. Appl. 176 (1) (1993), 138-147. | Zbl 0774.30008

[8] Lashin, A. Y., On certain subclasses of meromorphic functions associated with certainintegral operators, Comput. Math. Appl., 59 (1) (2010), 524-531.[WoS] | Zbl 1189.30025

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

[10] Nehari, Z., Conformal Mapping, MacGraw-Hill Book Company, New York, Toronto and London, 1955. | Zbl 0048.31503