Derivatives of Univalent Functions in Convex Domains

Jian Lin LI(1),Guang Sheng WEI

Acta Mathematica Sinica, Chinese Series ›› 2002, Vol. 45 ›› Issue (5) : 847-850.

PDF(285 KB)
PDF(285 KB)
Acta Mathematica Sinica, Chinese Series ›› 2002, Vol. 45 ›› Issue (5) : 847-850. DOI: 10.12386/A2002sxxb0110
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Derivatives of Univalent Functions in Convex Domains

  • Jian Lin LI(1),Guang Sheng WEI
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Abstract

Let f(w) be an analytic and univalent function in a convex domain D. Sharp bounds on the estimates of |f(n)(w)/f'(w)| are found for all w in D and 2≤n≤8. These estimates generalize several known results.

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Jian Lin LI(1),Guang Sheng WEI. Derivatives of Univalent Functions in Convex Domains. Acta Mathematica Sinica, Chinese Series, 2002, 45(5): 847-850 https://doi.org/10.12386/A2002sxxb0110
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