Subclasses of multivalent harmonic mappings defined by convolution (Q432531)
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scientific article; zbMATH DE number 6052954
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Subclasses of multivalent harmonic mappings defined by convolution |
scientific article; zbMATH DE number 6052954 |
Statements
Subclasses of multivalent harmonic mappings defined by convolution (English)
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4 July 2012
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In this paper the authors introduce a new subclass of multivalent harmonic functions defined by convolution. Sufficient coefficient conditions are obtained that are also shown to be necessary when the functions have negative coefficients. The results, which are presented in terms of five theorems and three corollaries, are interesting and their proofs seem to be correct.
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harmonic functions
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convolution
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fully starlike function
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fully convex function
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harmonic maps
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linear operator
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