Fractional Calculus and Shannon Wavelet

Figure 1

Approximation of (𝑖𝜔)^ℓ (plain) by the r.h.s of (3.15) at different scale: (a) ℑ[(𝑖𝜔)³],𝑘=5,|ℎ_max|=5; (b) ℑ[(𝑖𝜔)³],𝑘=5,|ℎ_max|=10; (c) ℜ[(𝑖𝜔)²],𝑘=7,|ℎ_max|=5; (d) ℜ[(𝑖𝜔)²],𝑘=7,|ℎ_max|=8.

(a)

(b)

(c)

(d)