A Review of Procedures for Summing Kapteyn Series in Mathematical Physics
Figure 3
Comparison of the exact and approximate values for the function , normalized to . In the upper panel, the solid line shows the (numerically calculated) exact function , and the dashed and dash-dot lines show the approximations and , respectively. In the lower panel, the relative deviation (in percent) from the exact function values is shown for the approximations (solid line) and (dashed line), respectively. The two dotted lines mark deviations of and .
