Figure 1
A line graph titled Conformal image of |z| = 0.95 under Ψ subscript alpha, beta. The horizontal axis is labeled Re and the vertical axis is labeled Im. The graph features three lines representing different parameter values: a blue line for alpha = 0.0, beta = 0.0; an orange line for alpha = 0.3, beta = 0.5; and a green line for alpha = 0.5, beta = 1.0. The blue line forms the outermost loop, the orange line forms the middle loop, and the green line forms the innermost loop. Each line starts from the origin and spirals outward, with the blue line reaching the farthest distance on both the Re and Im axes.Conformal image of the circle |z| = 0.95 under the dominant mapping for different parameter values (α, β)