Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Goodman-Ronning-Type Harmonic Univalent Functions

THOMAS ROSY;B. ADOLPH STEPHEN;K. G. SUBRAMANIAN;JAY M. JAHANGIRI

  • Published : 20010000

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Abstract

We define and investigate a family of complex-valued harmonic functions that are orientation preserving and univalent in the open unit disk and are related to Goodman Ronning-type uniformly convex functions. We obtain coefficient conditions, extreme points, distortion bounds, convolution conditions, and convex combination for the above family of harmonic functions.

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References

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