Krypf’s Diary

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Complex Plot of Bessel Functions

Bessel Functions of the First kind

Bessel functions of the first kind $J_\nu: \mathbb{C} \to \mathbb{C}$ . $J_0(z)$ is like $\cos(z)$ and $J_1(z)$ is like $\sin(z)$ .

f:id:Krypf:20201120212514p:plain — Fig. 1 Bessel function J0(z)

f:id:Krypf:20201120212609p:plain — Fig. 2 Bessel function J1(z)

f:id:Krypf:20201120212634p:plain — Fig. 3 Bessel function J2(z)

Bessel Functions of the second kind

The center of plot of $Y_2(z)$ seems like a flower.

f:id:Krypf:20201120212729p:plain — Fig. 4 Bessel function Y0(z)

f:id:Krypf:20201120212810p:plain — Fig. 5 Bessel function Y1(z)

f:id:Krypf:20201120212827p:plain — Fig. 6 Bessel function Y2(z)

Spherical Bessel functions

Spherical Bessel functions.

f:id:Krypf:20201120212932p:plain — Fig. 7 Spherical Bessel function j0(z)

f:id:Krypf:20201120213007p:plain — Fig. 8 Bessel function y0(z)