NOTE ON THE CONVOLUTION OF HARMONIC MAPPINGS
2019 ◽
Vol 99
(03)
◽
pp. 421-431
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Dorff et al. [‘Convolutions of harmonic convex mappings’, Complex Var. Elliptic Equ. 57(5) (2012), 489–503] formulated a question concerning the convolution of two right half-plane mappings, where the normalisation of the functions was considered incorrectly. In this paper, we reformulate the problem correctly and provide a solution to it in a more general form. We also obtain two new theorems which correct and improve related results.
2012 ◽
Vol 57
(5)
◽
pp. 489-503
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2015 ◽
Vol 39
(1)
◽
pp. 439-455
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2001 ◽
Vol 45
(3)
◽
pp. 263-271
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2021 ◽
Vol 66
(4)
◽
pp. 677-690