Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On Applications of Differential Subordination to Certain Subclass of Multivalent Functions

  • Aghalary, Rasoul (Department of Mathematics, University of Urmia) ;
  • Wang, Zhi-Gang (School of Mathematics and Computing Science, Changsha University of Science and Technology)
  • Received : 2008.03.11
  • Accepted : 2008.06.03
  • Published : 2009.06.30
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Abstract

In the present paper, we introduce and investigate a new subclass of multivalent functions associated with the Cho-Kwon-Srivastava operator $\tau^{\lambda}_p(a,c)$. Such results as inclusion relationships, convolution properties and criteria for starlikeness are proved. Relevant connections of the results presented here with those obtained in earlier works are also pointed out.

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References

  1. R. Aghalary, On subclasses of p-valent analytic functions defined by integral operators, Kyungpook Math. J., 47(2007), 393-401.
  2. N. E. Cho, O. S. Kwon and H. M. Srivastava, Inclusion relationships and argument properties for certain subclasses of multivalent functions associated with a family of linear operators, J. Math. Anal. Appl., 292(2004), 470-483. https://doi.org/10.1016/j.jmaa.2003.12.026
  3. D. J. Hallenbeck and St. Ruscheweyh, Subordination by convex functions, Proc. Amer. Math. Soc., 52(1975), 191-195. https://doi.org/10.1090/S0002-9939-1975-0374403-3
  4. J. Patel, On certain subclasses of multivalent functions involving Cho-Kwon-Srivastava operator, Ann. Univ. Mariae Curie-Sklodowska Sect. A, 60(2006), 75-86.
  5. St. Ruscheweyh and J. Stankiewicz, Subordination and convex univalent functions, Bull. Pol. Acad. Sci. Math., 33(1985), 499-502.
  6. S. Ruscheweyh, New ceriteria for univalent functions, Proc. Amer. Math. Soc., 49(1975), 109-115. https://doi.org/10.1090/S0002-9939-1975-0367176-1
  7. J. Sokol and L. Trojnar-Spelina, Convolution properties for certain classes of multivalent functions, J. Math. Anal. Appl., 337(2008), 1190-1197. https://doi.org/10.1016/j.jmaa.2007.04.055