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SOME RESULTS ON CERTAIN CLASS OF ANALYTIC FUNCTIONS BASED ON DIFFERENTIAL SUBORDINATION

  • Received : 2008.06.30
  • Published : 2013.01.31

Abstract

In the present paper we derive various useful properties and characteristics for certain class of analytic functions by using the techniques of differential subordination. Some interesting corollaries and applications of the results presented here are also discussed.

Keywords

References

  1. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Dover Publications, New York, 1971.
  2. I. E. Bazilevic, On a case of integrability in quadratures of the Loewner-Kufarev equation, Mat. Sb. N.S. 37(79) (1955), no. 3, 471-476.
  3. P. N. Chichra, New subclass of the class of close-to-convex functions, Proc. Amer. Math. Soc. 62 (1976), no. 1, 37-43.
  4. S. S. Ding, Y. Ling, and G. J. Bao, Some properties of a class of analytic functions, J. Math. Anal. Appl. 195 (1995), no. 1, 71-81. https://doi.org/10.1006/jmaa.1995.1342
  5. M. S. Liu, The radius of univalence for certain class of analytic functions, Boundary value problems, integral equations and related problems (Beijing/Chengde, 1999), 122128, World Sci. Publ., River Edge, NJ, 2000.
  6. A. E. Livingston, On the radius of univalence of certain analytic functions, Proc. Amer. Math. Soc. 17 (1966), 352-357. https://doi.org/10.1090/S0002-9939-1966-0188423-X
  7. S. S. Miller and P. T. Mocanu, Differential Subordinations, Theory and applications.Monographs and Textbooks in Pure and Applied Mathematics, 225. Marcel Dekker, Inc., New York, 2000.
  8. R. Singh, On Bazilevic functions, Proc. Amer. Math. Soc. 38 (1973), 261-271.
  9. H. M. Srivastava and S. Owa, Univalent Funcctions Frcational Calculus and Their Applications, Halsted Press (Ellis Horwood Limited, Chinchester), John Wiley and Sons, New York, Chinchester, Brisbane and Toranto, 1989.