Fast Hankel Transforms Algorithm Based on Kernel Function Interpolation with Exponential Functions

Table 1

Interpolation error comparison between Pravin and improved method (𝜀_𝑖=0.5∗(1.2)^𝑖−1, 𝑖=1,2,…,51).

Method	𝐺1(𝜆)		𝐺2(𝜆)
	Max_Abs	RMS	Max_Abs	RMS
Pravin	4.9469𝐸−3	2.5993𝐸−4	1.3781𝐸+5	7.2755𝐸+3
Φ1(𝜆)	2.1563𝐸−3	1.1404𝐸−4	2.9663𝐸−1	2.5646𝐸−2
Φ2(𝜆)	1.5147𝐸−3	9.2647𝐸−5	4.9784𝐸−1	3.0318𝐸−2