A Numerical Test of Padé Approximation for Some Functions with Singularity

Figure 5

(a) Distribution of poles () and zeros (+) of the Padé approximated function for the test function with a natural boundary on . The unit circle is drawn to guide the eye. (b) The Padé approximated functions , , and corresponding to , , and , respectively, and the exact function in the polar form with (after [32]).

(a)

(b)