A proof of a conjecture on convolution of harmonic mappings and some related problems

• Date: 2021
• Main Authors: Yalçın, S., Ebadian , A., Azizi, S., Yalçın, Sibel
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2021
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/94
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 $n=1,2,3$ and $4$. Also, it has been proved only for $\beta=\pi/2$. In this paper, by using of a new...