On some radius results for normalized analytic functions

Yong Chan Kim; Ern Gun Kwon

Annales Polonici Mathematici (1998)

  • Volume: 68, Issue: 1, page 51-60
  • ISSN: 0066-2216

Abstract

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We investigate some radius results for various geometric properties concerning some subclasses of the class 𝓢 of univalent functions.

How to cite

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Yong Chan Kim, and Ern Gun Kwon. "On some radius results for normalized analytic functions." Annales Polonici Mathematici 68.1 (1998): 51-60. <http://eudml.org/doc/270716>.

@article{YongChanKim1998,
abstract = {We investigate some radius results for various geometric properties concerning some subclasses of the class 𝓢 of univalent functions.},
author = {Yong Chan Kim, Ern Gun Kwon},
journal = {Annales Polonici Mathematici},
keywords = {Hausdorff-Young theorem; univalent function; Hardy space; Dirichlet space},
language = {eng},
number = {1},
pages = {51-60},
title = {On some radius results for normalized analytic functions},
url = {http://eudml.org/doc/270716},
volume = {68},
year = {1998},
}

TY - JOUR
AU - Yong Chan Kim
AU - Ern Gun Kwon
TI - On some radius results for normalized analytic functions
JO - Annales Polonici Mathematici
PY - 1998
VL - 68
IS - 1
SP - 51
EP - 60
AB - We investigate some radius results for various geometric properties concerning some subclasses of the class 𝓢 of univalent functions.
LA - eng
KW - Hausdorff-Young theorem; univalent function; Hardy space; Dirichlet space
UR - http://eudml.org/doc/270716
ER -

References

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  1. [1] P. L. Duren, Theory of H p Spaces, Academic Press, New York, 1970. Zbl0215.20203
  2. [2] G. M. Goluzin, On the theory of univalent conformal mappings, Mat. Sb. 42 (1935), 169-190 (in Russian). 
  3. [3] A. W. Goodman, On uniformly convex functions, Ann. Polon. Math. 56 (1991), 87-92. Zbl0744.30010
  4. [4] A. W. Goodman, On uniformly starlike functions, J. Math. Anal. Appl. 155 (1991), 364-370. Zbl0726.30013
  5. [5] Y. C. Kim, K. S. Lee, and H. M. Srivastava, Certain classes of integral operators associated with the Hardy space of analytic functions, Complex Variables Theory Appl. 20 (1992), 1-12. Zbl0774.30051
  6. [6] F. Rønning, On starlike functions associated with parabolic regions, Ann. Univ. Mariae Curie-Skłodowska Sect. A 45 (1991), 117-122. Zbl0769.30011
  7. [7] F. Rønning, A survey on uniformly convex and uniformly starlike functions, Ann. Univ. Mariae Curie-Skłodowska Sect. A 47 (1993), 123-134. Zbl0879.30004
  8. [8] F. Rønning, Some radius results for univalent functions, J. Math. Anal. Appl. 194 (1995), 319-327. Zbl0834.30011
  9. [9] H. Silverman, Univalent functions with negative coefficients, Proc. Amer. Math. Soc. 51 (1975), 109-116. Zbl0311.30007
  10. [10] H. M. Srivastava and S. Owa (eds.), Current Topics in Analytic Function Theory, World Sci., Singapore, 1992. Zbl0976.00007
  11. [11] S. Yamashita, Starlikeness and convexity from integral means of the derivative, Proc. Amer. Math. Soc. 103 (1988), 1094-1098. Zbl0658.30009

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