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Convolution Properties of Certain Class of Multivalent Meromorphic Functions

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The purpose of the present paper is to introduce a new subclass of meromorphic multivalent functions defined by using a linear operator associated with the generalized hypergeometric function. Some properties of this class are established here by using the principle of differential subordination and convolution in geometric function theory.

Abstract

The purpose of the present paper is to introduce a new subclass of meromorphic multivalent functions defined by using a linear operator associated with the generalized hypergeometric function. Some properties of this class are established here by using the principle of differential subordination and convolution in geometric function theory.

참고문헌 (19)

  1. B. C. Carlson, "Starlike and prestarlike hypergeometric functions", SIAM J. Math. Anal, 15, pp.737~745 (1984)
  2. N. E. Cho, "Inclusion relationships and argument properties for certain subclasses of multivalent functions associated with a family of linear operators", J. Math. Anal. Appl, 292, pp.470~483 (2004)
  3. N. E. Cho, "Inclusion relationships for certain subclasses of meromorphic functions associated with a family of multiplier transfor- mations", Integral Transforms Spec. Funct, 16, pp.647~659 (2005)
  4. J. Dziok, "Classes of analytic functions associated with the gen- eralized hypergeometric function", Appl. Math. Comput, 103, pp.1~13 (1999)
  5. J. Dziok, "Certain subclasses of analytic functions associated with the generalized hypergeometric function", Integral Transforms Spec. Funct, 14, pp.7~18 (2003)
  6. C.-Y. Gao, "Some functional inequalities and in- clusion relationships associated with certain families of integral operators", Comput. Math. Appl, 49, pp.1787~1795 (2005)
  7. S. P. Goyal, "On a class of multivalent functions de ned by generalized Ruscheweyh derivatives involving a general fractional derivative operator", J. Indian Acad. Math, 27, pp.439~454 (2005)
  8. S. P. Goyal, "On certain family of generalized integral operators and multivalent analytic functions", Proceedings of the 6th Int. Conf, pp.35~47 (2005), SSFA
  9. I. B. Jung, "The Hardy space of analytic functions associated with certain one-parameter families of integral operators", J. Math. Anal. Appl, 176, pp.138~147 (1993)
  10. J. -L. Liu, "Note on Ruscheweyh derivatives", J. Math. Anal. Appl, 199, pp.936~940 (1996)
  11. J. -L. Liu, "Some properties of Noor integral operator", J. Nat. Geom, 21, pp.81~90 (2002)
  12. K. I. Noor, "On new classes of integral operators", J. Nat. Geom, 16, pp.71~80 (1999)
  13. K. I. Noor, "On certain classes of meromorphic functions involving integral operators", J. Ineq. Pure and Appl. Math, 7, pp.138~ (2006)
  14. K. I. Noor, "On integral operators", J. Math. Anal. Appl, 238, pp.341~352 (1999)
  15. St. Ruscheweyh, "Convolutions in Geometric Function Theory" (1982), Les Presses de l’Univ
  16. St. Ruscheweyh, "New criteria for univalent functions", Proc. Amer. Math. Soc, 49, pp.109~115 (1975)
  17. H. M. Srivastava, "Multiple Gaussian Hypergeometric Series", John Wiley and Sons
  18. J. Sokˇol, "Convolution properties for certain classes of multi- valent functions", J. Math. Anal. Appl, 337, pp.1190~1197 (2008)
  19. S.-M. Yuan, "Some inclusion relationships and integral-preserving properties of certain subclasses of meromorphic functions asso-ciated with a family of integral operators", J. Math. Anal. Appl, 337, pp.505~515 (2008)

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