Majorization problems for p-valently meromorphic functions of complex order involving certain integral operator

  • Authors

    • Thambidurai Janani School of Advanced Sciences, VIT University, Vellore 632 014 India ,www.vit.ac.in
    • Gangadharan Murugusundaramoorthy Dr. G. Murugusundaramoorthy, Ph.D. Senior Professor of Mathematics, School of Advanced Sciences, VIT University, Vellore 632 014 India ,www.vit.ac.in
    2014-07-19
    https://doi.org/10.14419/gjma.v2i3.2989
  • The main object of this paper is to investigate the problem of majorization of certain class of meromorphic p-valent functions of complex order involving certain integral operator. Moreover we point out some new or known consequences of our main result.

    Keywords: Meromorphic functions, Starlike functions, Convex functions, Majorization problems, Hadamard product (convolution), Integral operator.

  • References

    1. O. Altintas, O,Ozkan and H. M. Srivastava, Majorization by starlike functions of complex order, Complex Variables Theory Appl. 46 (2001), no. 3, 207-218.
    2. E.Aqlan, J.M.Jahangiri, and S.R.Kulkarni, Certain integral operators applied to meromorphic p-valent functions, J. Nat. Geom., 24 (2003),111-120.
    3. S. P. Goyal and P.Goswami , Majorization for certain classes of meromorphic functions defined by integral operator, Annales. Univ. Marie-Curie-Sklod. Math. Lett. 66 (2012), no. 2, 57-62.
    4. R. J. Libera, Univalent a spiral-like functions, Canadian. J. Math. Soc. 19 (1967), 449-456.
    5. A.Y. Lashin, On certain subclasses of meromorphic functions associated with certain integral operators, Comput. Math Appl. 59 (1) (2010), 524-531.
    6. G.Murugusundaramoorthy and N. Magesh, Differential subordination and superordination of integral operator on meromorphic functions", Math. Sci. Res. J. 13 (2009), no. 3, 68-79
    7. Z.Nahari, Conformal mapping, Mac Gra-Hill Book Company, New York; Toronto and London, 1952.
    8. T. H.Mac Gregor, Majorization by univalent functions, Duke Math. J. 34 (1967), 95-102.
    9. S. S. Miller,and P. T.Mocanu, Differential subordinations, Monographs and Textbooks in Pure and Applied Mathematics, 225, Dekker, New York, 2000.
    10. L, Spacek, Prispevek k teorii funkci prostych,Casopis Pest Math. 63 (1933), 12-19.
    11. H.M. Srivastava, S.Owa, A note on certain class of spiral-like functions, Rend.Sem.Mat.Univ.Padavo., 80 (1988), 17-24.
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  • How to Cite

    Janani, T., & Murugusundaramoorthy, G. (2014). Majorization problems for p-valently meromorphic functions of complex order involving certain integral operator. Global Journal of Mathematical Analysis, 2(3), 146-151. https://doi.org/10.14419/gjma.v2i3.2989