Author:
Yalçın S.,Ebadian A.,Azizi S.
Abstract
UDC 517.5
Recently, Kumar et al. proposed a conjecture concerning the convolution of a generalized right half-plane mapping with a vertical strip mapping. They have verified the above conjecture for and . Also, it has been proved only for . In this paper, by using of a new method, we settle this conjecture in the affirmative for all and . Moreover, we will use this method to prove some results on convolution of harmonic mappings. This new method simplifies calculations and shortens the proof of results remarkably.
Publisher
Institute of Mathematics National Academy of Sciences of Ukraine
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