Chinese Quarterly Journal of Mathematics ›› 1997, Vol. 12 ›› Issue (4): 11-15.

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Some Results on Areally Mean Valent Functions

  

  1. Fudan University,Shanghai,200433; Jiujiang Teacher's  College,Jiangxi,Jiujiang,332000
  • Received:1994-04-10 Online:1997-12-30 Published:2024-11-12
  • Supported by:
    Proiect supportedby the Natural Science Foundation of Jangxi Province.

Abstract: Let M be the class of areally mean univalent function, f ∈M and ... In this paper, we estimate the arithmetical mean of coefficients Dn(λ) and the arithmetical mean of successive coefficients tn(λ) =||Dn+1(λ)|-|Dn(λ)||. Our results are sharp. In addition, we also generalize Hayman's theorem on integral mean 

Key words: areally mean univalent functions, maximal growth, integral mean ,

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