Hidden Symmetries of Complex Analysis

Cao-Huu Tuan, Dorin Ghisa, Allan Florin Muscutar
2019 Advances in Pure Mathematics  
We are dealing with domains of the complex plane which are not symmetric in common sense, but support fixed point free antianalytic involutions. They are fundamental domains of different classes of analytic functions and the respective involutions are obtained by composing their canonical projections onto the complex plane with the simplest antianalytic involution of the Riemann sphere. What we obtain are hidden symmetries of the complex plane. The list given here of these domains is far from
more » ... mains is far from exhaustive.
doi:10.4236/apm.2019.910041 fatcat:dzjqhcyl6jfrfnz2eggsx5za3e