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Certain subclasses of starlike and convex functions of order α with negative coefficients

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In this paper, we define a subclass of starlike functions and obtaincoefficient estimates. Further, we investigate radii of starlikeness and convexityfor a family of integral operator and neighborhood properties.

Abstract

In this paper, we define a subclass of starlike functions and obtaincoefficient estimates. Further, we investigate radii of starlikeness and convexityfor a family of integral operator and neighborhood properties.

참고문헌 (7)

  1. H.S.Al-Amiri, "On a subckass of close-to-convex functions with negative coefficients", Mathematics, Tome, 31(54), pp.1~7 (1989)
  2. B.A. Frasin, "On the analytic functions with negative coefficients", Soochow J. Math., 31(3), pp.349~359 (2005)
  3. B.A.Frasin, "Some applications of fractional calculus operators to certain subclass of analytic functions with negative coefficients", Acta Universitatis Apulensis, 23, pp.123~132 (2010)
  4. V.P. Gupta, "Certain classes univalent analytic functions with negative coefficients II", Bull. Austral. Math. Soc., 15, pp.467~473 (1976)
  5. S. M. Sarangi, "The radius of convexity and starlikeness of certain classes of analytic functions with negative coefficients I", Atti. Accad. Naz. Lincei rend. Cl. Sci. Fis. Mat. Natur., 65(8), pp.34~42 (1978)
  6. H. Silverman, "Univalent functions with negative coefficients", Proc. Amer. Math. Soc., 51, pp.109~116 (1975)
  7. H. M. Srivastava, "A note on certain classes of starlike func- tions", Rend. Sem. Mat. Univ. Padova, 77, pp.115~124 (1987)

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