A Review of Procedures for Summing Kapteyn Series in Mathematical Physics
Figure 2
Comparison of the exact and approximate values for the three components of the function . In panels 1, 3, and 5, the solid lines show the (numerically calculated) exact functions , , and , respectively, and the dashed and dash-dot lines show the approximations and , respectively. All function values are normalized to . In panels 2, 4, and 6, the relative deviation (in percent) from the exact function values is shown for the approximations (solid lines) and (dashed lines), respectively. The two dotted lines mark deviations of and .
