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Properties of Harmonic Functions Which Are Convex of Order β with Respect to Symmetric Points
並列摘要
Let H denote the class of functions f which are harmonic and univalent in the open unit disc D = {z: |z| ＜ 1}. This paper defines and investigates a family of complex-valued harmonic functions that are orientation preserving and univalent in D and are related to the functions convex of order β(0 ≤β＜ 1), with respect to symmetric points. We obtain coefficient conditions, growth result, extreme points, convolution and convex combinations for the above harmonic functions.
延伸閱讀
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