Abstract
A slowly convergent series that arises in the solution of 2-D conducting half-plane problems with line source (cylindrical wave) illumination is transformed into a new series by attaching an arbitrary parameter α to the terms of series. The effect of α on the convergence behavior of the new series is analyzed theoretically and also illustrated by figures. For some values of α , the new series reduces to some rapidly convergent and accurate forms as demonstrated by calculations.
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