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

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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

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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

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  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

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