Fractal Spherical Harmonics

Figure 1

Graph of the 𝛼-fractal function (𝑃²₅)^𝛼(𝑡) of the Ferrers polynomial 𝑃²₅(𝑡) in the interval 𝐼=[−1,1], step ℎ=0.1, operator 𝐿𝑓(𝑡)=𝑣(𝑡)𝑓(𝑡), where 𝑣(𝑡)=cos(2𝜋𝑡) and scale vector 𝛼={−0.3,0.4,−0.6,0.8,0.2,−0.7,0.4,0.5,0.2,−0.75}