Convolutions of Harmonic Functions with Certain Dilatations

Om P. Ahuja and Jay M. Jahangiri

International Journal of Mathematics and Mathematical Sciences, 2017, vol. 2017, 1-4

Abstract:

The convolution of harmonic functions, unlike the analytic case, proved to be very challenging. In this paper, we introduce dilatation conditions that guarantee the convolution of two harmonic functions to be locally one-to-one, sense-preserving, and close-to-convex harmonic in the unit disk.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:4015268

DOI: 10.1155/2017/4015268

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