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一族用微分算子定义的近于凸函数

A CLASS OF CLOSE—TO—CONVEX FUNCTIONS DEFINED BY CERTAIN DIFFERENTIAL OPERATOR
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摘要 本文研究了一族用微分算子定义的近于凸函数的有关极值问题。所用工具主要是函数从属原理。本文的结论推广了已有的一些结果,并改进了文献中获得的几个结论。 In this paper we study some properties of a class of close—to—convex functions defined by certain differential operator. The means we used is mainly the principle of subordination. Some known results are the consequences of ours. We also improve some conclusions obtained by R. Singh and S. Singh in paper [5].
作者 高纯一
出处 《交通科学与工程》 1993年第3期12-20,共9页 Journal of Transport Science and Engineering
关键词 单叶函数 凸函数 微分算子 univalent functions convex functions differential operators
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参考文献10

  • 1RH.
  • 2P. N. Chichra.New subclass of the class of close-to-convex functions, Proc. Journal of the American Mathematical Society . 1977
  • 3R.R. London.Functions whose derivative has positive real part, Froc. Journal of the American Mathematical Society . 1988
  • 4F. Gray and S. Ruscheweyh.Functions whose derivatives take values in a half-plane, Proc. Journal of the American Mathematical Society . 1988
  • 5R. Singh and S. Singh.Convolution properties of a class of starlike functions, Proc. Journal of the American Mathematical Society . 1989
  • 6I. S. Jack.Functions starlike and convex of order α, J. London Mathematical Society . 1971
  • 7D. K. Thomas.On functions whose derivative has positive real part, Proc. Journal of the American Mathematical Society . 1986
  • 8R. Libera.Some classes of regular univalent functions, Proc. Journal of the American Mathematical Society . 1975
  • 9D. Hallenbeck and S. Ruscheweyh.Subordination by convex functions, Proc. Journal of the American Mathematical Society . 1975
  • 10R. Singh and S. Singh.Starlikeness and convexity of certain integrals, Ann.Univ. Mariae Curie-Sklodowska Sect. A . 1981

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