Convolutions of harmonic right half-plane mappings
We first prove that the convolution of a normalized right half-plane mapping with another subclass of normalized right half-plane mappings with the dilatation −z(a+z)/(1+az)$ - z(a + z)/(1 + az)$ is CHD (convex in the horizontal direction) provided a=1$a = 1$ or −1≤a≤0$ - 1 \le a \le 0$. Secondly, w...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2016-01-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/math.2016.14.issue-1/math-2016-0069/math-2016-0069.xml?format=INT |