Coefficient Conditions for Harmonic Close-to-Convex Functions
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 clo...
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Hindawi Limited
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/413965 |
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doaj-bef41323f2fa4b839e7878a5b72baa552020-11-24T23:22:33ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/413965413965Coefficient Conditions for Harmonic Close-to-Convex FunctionsToshio Hayami0Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, JapanNew 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.http://dx.doi.org/10.1155/2012/413965 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Toshio Hayami |
| spellingShingle |
Toshio Hayami Coefficient Conditions for Harmonic Close-to-Convex Functions Abstract and Applied Analysis |
| author_facet |
Toshio Hayami |
| author_sort |
Toshio Hayami |
| title |
Coefficient Conditions for Harmonic Close-to-Convex Functions |
| title_short |
Coefficient Conditions for Harmonic Close-to-Convex Functions |
| title_full |
Coefficient Conditions for Harmonic Close-to-Convex Functions |
| title_fullStr |
Coefficient Conditions for Harmonic Close-to-Convex Functions |
| title_full_unstemmed |
Coefficient Conditions for Harmonic Close-to-Convex Functions |
| title_sort |
coefficient conditions for harmonic close-to-convex functions |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2012-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2012/413965 |
| work_keys_str_mv |
AT toshiohayami coefficientconditionsforharmonicclosetoconvexfunctions |
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1725567645048111104 |