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The Maliuzhinets half-plane function psipi(z) has been used for many applications, but its closed-form has not been known. In this Communication, we exactly evaluate a known integral representation of psipi(z) to formulate an exact closed-form of the function, which is expressed in terms of the dilogarithm function. The exact formulation is numerically verified by comparing it with the results obtained...
In this paper, the Sommerfeld integral that occurs in an impedance half-space problem is precisely evaluated. To formulate a closed form of the integral, the two series representations of the integral are derived and, on the basis of the series expansions, the closed form is formulated
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