DOI QR코드

DOI QR Code

Certain Subclass of p-Valent Meromorphic Functions Associated with Linear Operator

  • MOSTAFA, A.O. (Department of Mathematics, Faculty of Science, Mansoura University) ;
  • AOUF, M.K. (Department of Mathematics, Faculty of Science, Mansoura University) ;
  • SHAMANDY, A. (Department of Mathematics, Faculty of Science, Mansoura University) ;
  • ADWAN, EMAN AHMED (Department of Mathematics, Faculty of Science, Mansoura University)
  • Received : 2012.08.24
  • Accepted : 2013.05.09
  • Published : 2015.06.23

Abstract

In this paper, we introduce a class of p-valent meromorphic functions associated with linear operator and derive several interesting results of this class.

Keywords

References

  1. M. K. Aouf, New certeria for multivalent meromorphic starlike functions of order alpha, Proc. Japan. Acad., 69(1993), 66-70. https://doi.org/10.3792/pjaa.69.66
  2. M. K. Aouf and H. M. Hossen, New certeria for meromorphic p-valent starlike functions, Tsukuba J. Math., 17(2)(1993), 481-486.
  3. M. K. Aouf, A. Shamandy, A. O. Mostafa and S. M. Madian, Properties of some families of meromorphic p-valent functions involving certain differential operator, Acta Univ. Apulensis, 20(2009), 7-16.
  4. M. K. Aouf and H. M. Srivastava, A new criterion for meromorphically p-valent convex functions of order alpha, Math. Sci. Research Hot-Line, 1(8)(1997), 7-12.
  5. R. M. El-Ashwah, A note on certain meromorphic p-valent functions, Appl. Math. Letters, 22(2009), 1756-1759. https://doi.org/10.1016/j.aml.2009.06.026
  6. R. M. El-Ashwah, Properties of certain class of p-valent meromorphic functions associated with new Integral operator, Acta Univ. Apulensis, 29(2012), 255-264.
  7. J.-L. Liu and H. M. Srivastava, A linaer operator and associated with the generalized hypergeometric function, J. Math. Anal. Appl., 259(2000), 566-581.
  8. J.-L. Liu and H. M. Srivastava, Classes of meromorphically multivalent functions associated with the generalized hypergeometric function, Math. Comput. Modelling , 39(2004), 21-34. https://doi.org/10.1016/S0895-7177(04)90503-1
  9. S. S. Miller and P. T. Mocanu, Second order differential inequalities in the complex plane, J. Math. Anal. Appl., 65(2)(1978), 289-305. https://doi.org/10.1016/0022-247X(78)90181-6
  10. K. I. Noor, On subclasses of close-to-convex functions of higher order, Internat. J. Math. Math. Sci., 15(1992), 279-290. https://doi.org/10.1155/S016117129200036X
  11. K. S. Padmanabhan and R. Parvatham, Properties of a class of functions with bounded boundary rotation, Ann. Polon. Math., 31(1975), 311-323.
  12. B. Pinchuk, Functions with bounded boundary rotation, Isr. J. Math., 10(1971), 7-16.
  13. H .M. Srivastava and J. Patel, Applications of differential subordinations to certain classes of meromorphically multivalent functions, J. Ineq. Pure Appl. Math., 6(3)(2005), 1-15.