대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제48권4호
  • /
  • Pages.697-704
  • /
  • 2011
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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ON SUFFICIENT CONDITIONS FOR STRONGLY STARLIKE FUNCTIONS ASSOCIATED WITH A LINEAR OPERATOR

  • Liu, Jin-Lin (Department of Mathematics Yangzhou University)
  • 투고 : 2009.08.14
  • 발행 : 2011.07.31
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초록

By using the method of differential subordinations, we derive some sufficient conditions for strongly starlike functions associated with a linear operator. All these results presented here are sharp.

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참고문헌

  1. M. K. Aouf, H. M. Hossen, and A. Y. Lashin, An application of certain integral operators, J. Math. Anal. Appl. 248 (2000), no. 2, 475-481. https://doi.org/10.1006/jmaa.2000.6923
  2. I. B. Jung, Y. C. Kim, and H. M. Srivastava, The Hardy space of analytic functions associated with certain one-parameter families of integral operators, J. Math. Anal. Appl. 176 (1993), no. 1, 138-147. https://doi.org/10.1006/jmaa.1993.1204
  3. J.-L. Liu, Notes on Jung-Kim-Srivastava integral operator, J. Math. Anal. Appl. 294 (2004), no. 1, 96-103. https://doi.org/10.1016/j.jmaa.2004.01.040
  4. J.-L. Liu and S. Owa, Properties of certain integral operator, Int. J. Math. Sci. 3 (2004), no. 2, 351-359.
  5. S. S. Miller and P. T. Mocanu, Differential Subordinations: Theory and Applications, Series in Pure and Applied Mathematics, No. 225, Marcel Dekker, New York, 2000.