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NOTE ON THE CONVOLUTION OF HARMONIC MAPPINGS.

Authors :
LI, LIULAN
PONNUSAMY, SAMINATHAN
Source :
Bulletin of the Australian Mathematical Society. Jun2019, Vol. 99 Issue 3, p421-431. 11p.
Publication Year :
2019

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00049727
Volume :
99
Issue :
3
Database :
Academic Search Index
Journal :
Bulletin of the Australian Mathematical Society
Publication Type :
Academic Journal
Accession number :
136546781
Full Text :
https://doi.org/10.1017/S0004972719000029