On some radius results for normalized analytic functions
Yong Chan Kim ; Ern Gun Kwon
Annales Polonici Mathematici, Tome 69 (1998), p. 51-60 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:270716 
@article{bwmeta1.element.bwnjournal-article-apmv68z1p51bwm,
     author = {Yong Chan Kim and Ern Gun Kwon},
     title = {On some radius results for normalized analytic functions},
     journal = {Annales Polonici Mathematici},
     volume = {69},
     year = {1998},
     pages = {51-60},
     zbl = {0901.30008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv68z1p51bwm}
}

Yong Chan Kim; Ern Gun Kwon. On some radius results for normalized analytic functions. Annales Polonici Mathematici, Tome 69 (1998) pp. 51-60. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv68z1p51bwm/

[000] [1] P. L. Duren, Theory of Hp Spaces, Academic Press, New York, 1970. | Zbl 0215.20203

[001] [2] G. M. Goluzin, On the theory of univalent conformal mappings, Mat. Sb. 42 (1935), 169-190 (in Russian).

[002] [3] A. W. Goodman, On uniformly convex functions, Ann. Polon. Math. 56 (1991), 87-92. | Zbl 0744.30010

[003] [4] A. W. Goodman, On uniformly starlike functions, J. Math. Anal. Appl. 155 (1991), 364-370. | Zbl 0726.30013

[004] [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. | Zbl 0774.30051

[005] [6] F. Rønning, On starlike functions associated with parabolic regions, Ann. Univ. Mariae Curie-Skłodowska Sect. A 45 (1991), 117-122. | Zbl 0769.30011

[006] [7] F. Rønning, A survey on uniformly convex and uniformly starlike functions, Ann. Univ. Mariae Curie-Skłodowska Sect. A 47 (1993), 123-134. | Zbl 0879.30004

[007] [8] F. Rønning, Some radius results for univalent functions, J. Math. Anal. Appl. 194 (1995), 319-327. | Zbl 0834.30011

[008] [9] H. Silverman, Univalent functions with negative coefficients, Proc. Amer. Math. Soc. 51 (1975), 109-116. | Zbl 0311.30007

[009] [10] H. M. Srivastava and S. Owa (eds.), Current Topics in Analytic Function Theory, World Sci., Singapore, 1992. | Zbl 0976.00007

[010] [11] S. Yamashita, Starlikeness and convexity from integral means of the derivative, Proc. Amer. Math. Soc. 103 (1988), 1094-1098. | Zbl 0658.30009