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Some results on certain class of analytic functions based on differential subordination

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In the present paper we derive various useful properties and \linebreak 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.

Abstract

In the present paper we derive various useful properties and \linebreak 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.

참고문헌 (9)

  1. M. Abramowitz, "Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables" (1971), Dover Publications
  2. I. E. Bazilevic, "On a case of integrability in quadratures of the Loewner-Kufarev equation", Mat. Sb. N.S, 37(79), pp.471~476 (1955)
  3. P. N. Chichra, "New subclass of the class of close-to-convex functions", Proc. Amer. Math. Soc, 62(1), pp.37~43 (1976)
  4. S. S. Ding, "Some properties of a class of analytic functions", J. Math. Anal. Appl, 195(1), pp.71~81 (1995)
  5. M. S. Liu, "The radius of univalence for certain class of analytic functions, Boundary value problems, integral equations and related problems" (1999), World Sci. Publ.
  6. A. E. Livingston, "On the radius of univalence of certain analytic functions", Proc. Amer. Math. Soc, 17, pp.352~357 (1966)
  7. S. S. Miller, "Differential Subordinations, Theory and applica- tions.Monographs and Textbooks in Pure and Applied Mathematics" (2000), Marcel Dekker, Inc.
  8. R. Singh, "On Bazilevic functions", Proc. Amer. Math. Soc, 38, pp.261~271 (1973)
  9. H. M. Srivastava, "Univalent Funcctions Frcational Calculus and Their Ap- plications" (1989), Halsted Press

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