Properties of Bessel Function

• Note that both J₀ and Y₀ are oscillating functions with decaying amplitude.
• The reason for the decay in amplitude can be attributed to the divergence of the coordinate in r direction.
• Similar to Sine and Cosine, they have multiple roots.
• The first root of J₀ is 2.405.
• There are some properties of J₀ and Y₀ which we shall describe below

• Y₀(0) = -∞
• J₀(0) = 1
• First root of J₀ is 2.405, That is J₀ (2.405) = 0.
• Another property of J₀ is that