“…relevant K− generator(12) being the radical part of the 2D Laplacian operator. In fact, as noted earlier, the Hankel transform of integer Bessel order can be regarded as the radial part of the 2D Fourier transform of rotationally symmetric function, when polar co-ordinates are adopted.In otherwords we have Fa f (ζ, η) (x, y ) = e −imφ e −imθ Ĥa m ρ 1/2 g(ρ) (r ), m = 0, 1, 2, ...(69)where (ρ, φ) and (r, θ) are polar co-ordinates respectively in the function and transform domain and f is a rotationally symmetric function:f (ζ, η) = g(ρ) e imφ .Evidently (69) can be generalised to the transform (21) and (24) as Fa f (ζ, η) (x, y ) = e −imφ e −imθ r −1+2(α+β) Ĥa 1,m ρ 1−2(α+β) g(ρ) (r ), Fa f (ζ, η) (x, y ) = e −imφ e −imθ r −2(α+β) Ĥa 2,m,−2(α+β) ρ 2(α+β) g(ρ) (r )…”