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Differential Sandwich Theorem for Multivalent Meromorphic Functions associated with the Liu-Srivastava Operator

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Differential subordination and superordination results are obtained for multivalent meromorphic functions associated with the Liu-Srivastava linear operator in the punctured unit disk. These results are derived by investigating appropriate classes of admissible functions. Sandwich-type results are also obtained.

Abstract

Differential subordination and superordination results are obtained for multivalent meromorphic functions associated with the Liu-Srivastava linear operator in the punctured unit disk. These results are derived by investigating appropriate classes of admissible functions. Sandwich-type results are also obtained.

참고문헌 (27)

  1. R. Aghalary, "Inequalities for analytic functions defined by certain linear operator", Internat. J. Math. Sci, 4, pp.267~274 (2005)
  2. R. Aghalary, "Subordinations for analytic functions defined by the Dziok-Srivastava linear operator", Appl. Math. Comput, 187, pp.13~19 (2007)
  3. R. M. Ali, "Differential sandwich theorem for multivalent analytic functions associated with the Dziok-Srivastava operator", Tamsui Oxf. J. Math. Sc
  4. R. M. Ali, "Differential subordination for meromorphic functions defined by a linear operator", J. Anal. Appl, 2, pp.149~158 (2004)
  5. R. M. Ali, "Differential subordination and superordination of analytic functions defined by the Dziok-Srivastava linear operator", Journal of Franklin Institute
  6. R. M. Ali, "Differential subordination and superordination of analytic functions defined by the multiplier transformation", Math. Inequal. Appl, 12, pp.123~139 (2009)
  7. R. M. Ali, "Differential subordination and su-perordination for meromorphic functions defined by certain multiplier transformation", Bull. Malaysian Math. Sci. Soc, 33, pp.311~324 (2010)
  8. R. M. Ali, "Subordination and superordination on Schwarzian derivatives", J. Inequal. Appl, pp.1~18 (2008)
  9. R. M. Ali, "Subordination and superordina-tion of the Liu-Srivastava linear operator on meromorphic functions", Bull. Malaysian Math. Sci. Soc, 31, pp.193~207 (2008)
  10. M. K. Aouf, "New criteria for meromorphic p-valent starlike func-tions", Tsukuba J. Math, 17, pp.481~486 (1993)
  11. 김인화, "Inclusion properties of certain classes of meromorphic functions associated with the generalized hypergeometric function", Appl. Math. Comput., 187(1), pp.115~121
  12. J. Dziok, "Classes of analytic functions associated with the gen-eralized hypergeometric function", Appl. Math. Comput, 103, pp.1~13 (1999)
  13. Y. C. Kim, "Inequalities involving certain families of integral and convolution operators", Math. Inequal. Appl, 7, pp.227~234 (2004)
  14. J-L. Liu, "A linear operator and its applications on meromorphic p-valent functions", Bull. Inst. Math. Acad. Sinica, 31, pp.23~32 (2003)
  15. J-L. Liu, "On certain meromorphic p-valent functions", Taiwanese J. Math, 2, pp.107~110 (1998)
  16. J-L. Liu, "A linear operator and associated families of meromor-phically multivalent functions", J. Math. Anal. Appl, 259, pp.566~581 (2001)
  17. J-L. Liu, "Classes of meromorphically multivalent functions associated with the generalized hypergeometric function", Math. Comput. Modelling, 39, pp.21~34 (2004)
  18. J-L. Liu, "Subclasses of meromorphically multivalent functions associated with a certain linear operator", Math. Comput. Modelling, 39, pp.35~44 (2004)
  19. S. S. Miller, "Differential Subordinations" (2000), Dekker
  20. S. S. Miller, "Subordinants of differential superordinations", Complex Variables Theory Appl, 48, pp.815~826 (2003)
  21. S. Owa, "Univalent and starlike generalized hypergeometric func-tions", Canad. J. Math, 39, pp.1057~1077 (1987)
  22. R. K. Raina, "A new class of meromorphically multivalent func-tions with applications to generalized hypergeometric functions", Math. Comput. Mod-elling, 43, pp.350~356 (2006)
  23. H. M. Srivastava, "Some subclasses of multivalent functions involving a certain linear operator", J. Math. Anal. Appl, 310, pp.209~228 (2005)
  24. H. M. Srivastava, "Subordinations for multivalent analytic functions associated with the Dziok-Srivastava operator", Integral Transforms Spec. Funct, 20, pp.581~606 (2009)
  25. B. A. Uralegaddi, "New criteria for meromorphic starlike univalent functions", Bull. Austral. Math. Soc, 43, pp.137~140 (1991)
  26. D. Yang, "On a class of meromorphic starlike multivalent functions", Bull. Inst. Math. Acad. Sinica, 24, pp.151~157 (1996)
  27. D. Yang, "Certain convolution operators for meromorphic functions", Southeast Asian Bull. Math, 25, pp.175~186 (2001)

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