Affiliation:
1. Mathematical Sciences, Kent State University, Burton, OH 44021-9500, USA
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.
Subject
Mathematics (miscellaneous)
Cited by
1 articles.
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1. Close-to-Convexity of Convolutions of Classes of Harmonic Functions;International Journal of Mathematics and Mathematical Sciences;2018