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A REMARK ON CERTAIN DIFFERENTIAL INEQUALITIES INVOLVING p-VALENT FUNCTIONS

A REMARK ON CERTAIN DIFFERENTIAL INEQUALITIES INVOLVING p-VALENT FUNCTIONS
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摘要 In the present paper, we study certain differential inequalities involving p-valent functions and obtain sufficient conditions for uniformly p-valent starlikeness and uniformly p-valent convexity. We also offer a correct version of some known criteria for uniformly p-valent starlike and uniformly p-valent convex functions. In the present paper, we study certain differential inequalities involving p-valent functions and obtain sufficient conditions for uniformly p-valent starlikeness and uniformly p-valent convexity. We also offer a correct version of some known criteria for uniformly p-valent starlike and uniformly p-valent convex functions.
出处 《Analysis in Theory and Applications》 2012年第1期58-64,共7页 分析理论与应用(英文刊)
关键词 p-valent function uniformly starlike function uniformly convex function uni-formly close-to-convex function p-valent function, uniformly starlike function, uniformly convex function, uni-formly close-to-convex function
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参考文献4

  • 1Al-Kharsani,H.A,A1-Hajiry,S.S. A Note on Certain Inequalities for p-valent Functions[J].Journal of Inequalities in Pure and Applied Mathematics,2008,(03):90,1-6.
  • 2Goodman,A.W. On Uniformly Starlike Functions[J].Journal of Mathematical Analysis and Applications,1991.364-370.
  • 3Jack,I.S. Functions Starlike and Convex of Order α[J].Journal of the London Mathematical Society,1971.469-474.
  • 4Ronning,F. Uniformly Convex Functions and a Corresponding Class of Starlike Functions[J].Proceedings of the American Mathematical Society,1993.189-196.

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