Coefficient Conditions for Harmonic Close‐to‐Convex Functions

Toshio Hayami

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: New sufficient conditions, concerned with the coefficients of harmonic functions f(z)=h(z)+g(z)¯ in the open unit disk 𝕌 normalized by f(0) = h(0) = h′(0) − 1 = 0, for f(z) to be harmonic close‐to‐convex functions are discussed. Furthermore, several illustrative examples and the image domains of harmonic close‐to‐convex functions satisfying the obtained conditions are enumerated.

Date: 2012
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https://doi.org/10.1155/2012/413965

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:413965

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