Majorization for certain classes of meromorphic functions defined by integral operator

S. P. Goyal; Pranay Goswami

Annales UMCS, Mathematica (2012)

  • Volume: 66, Issue: 2, page 57-62
  • ISSN: 2083-7402

Abstract

top
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.

How to cite

top

S. P. Goyal, and Pranay Goswami. "Majorization for certain classes of meromorphic functions defined by integral operator." Annales UMCS, Mathematica 66.2 (2012): 57-62. <http://eudml.org/doc/268150>.

@article{S2012,
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.},
author = {S. P. Goyal, Pranay Goswami},
journal = {Annales UMCS, Mathematica},
keywords = {Meromorphic univalent functions; majorization property; starlike functions; integral operators.; meromorphic univalent functions; integral operators},
language = {eng},
number = {2},
pages = {57-62},
title = {Majorization for certain classes of meromorphic functions defined by integral operator},
url = {http://eudml.org/doc/268150},
volume = {66},
year = {2012},
}

TY - JOUR
AU - S. P. Goyal
AU - Pranay Goswami
TI - Majorization for certain classes of meromorphic functions defined by integral operator
JO - Annales UMCS, Mathematica
PY - 2012
VL - 66
IS - 2
SP - 57
EP - 62
AB - 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.
LA - eng
KW - Meromorphic univalent functions; majorization property; starlike functions; integral operators.; meromorphic univalent functions; integral operators
UR - http://eudml.org/doc/268150
ER -

References

top
  1. [1] Altintaş, O., Özkan, Ö., Srivastava, H. M., Majorization by starlike functions ofcomplex order, Complex Variables Theory Appl. 46 (2001), 207-218. Zbl1022.30016
  2. [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] Zbl1182.30013
  3. [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. [4] Goswami, P., Wang, Z.-G., Majorization for certain classes of analytic functions, Acta Univ. Apulensis Math. Inform. 21 (2009), 97-104. Zbl1212.30046
  5. [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] Zbl1201.30014
  6. [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] Zbl1188.30013
  7. [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. Zbl0774.30008
  8. [8] Lashin, A. Y., On certain subclasses of meromorphic functions associated with certainintegral operators, Comput. Math. Appl., 59 (1) (2010), 524-531.[WoS] Zbl1189.30025
  9. [9] MacGreogor, T. H., Majorization by univalent functions, Duke Math. J. 34 (1967), 95-102.[Crossref] 
  10. [10] Nehari, Z., Conformal Mapping, MacGraw-Hill Book Company, New York, Toronto and London, 1955. Zbl0048.31503

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.