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… Click to show full 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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