Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
권호 표지

SEVERAL PROPERTIES OF THE SUBCLASS OF Gk DESCRIBED BY SUBORDINATION

  • PARK, YOUNG OK (Dept. of Mathematics, Ewha Womans University)
  • Received : 1999.05.03
  • Published : 1999.07.30
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper we generalize the definition of strongly close-to-convex functions by using the functions g(z) of bounded boundary rotation and investigate the distortion and rotation theorem, coefficient inequalities, invariance property and inclusion relation for the new class $G_{k}[A,\;B]$.

Keywords

Acknowledgement

Supported by : GARC

References

  1. Michigan Math. J. v.1 Close-to-convex schlicht finctions Kaplan, W.
  2. Tran.of the Amer.Math.Soc. v.174 no.December A genelalization of univalent functions with Bounded Boundary Rotation Moulis, E.J. Jr.
  3. Annal/Acad. Sci. Fenn. Ser. A v.37 Uber Gebiete von beschrankter Randdrehung Paatero, V.
  4. Journal D'Analyse Math. v.30 Functions of bounded boundary rotation and convexity Pfluger, A.
  5. Trans. Amer. Math. Soc. v.114 On close-to-convex anaytic functions Pommerenke, Ch.
  6. Comment, Math.Helv. v.48 Hadamard products of schlicht functions and the Polya-Schoenberg conjecture Ruscheweyh, St.;Sheil-Srnall, T.
  7. Proc.Amer.Math.Soc. v.36 no.2 On a class of close-to-convex functions Silverrnan, H.