A large number of results concerning the sums of certain infinite series involving Legendre functions (including conical functions) are derived. The generating principle chosen here is based upon the application of I ...

The electromagnetic field produced by a line current oriented parallel to the edges of two perfectly conducting parallel half planes is considered. Maxwell's equations reduce to a single wave equation involving only o ...

Application of a Mellin transform to a series which represents a generalization of the Lerch zeta function yields a transformation series. One obtains the asymptotic behavior of the series, together with some associat ...

The electromagnetic field in a cone of arbitrary slant height with a symmetrically placed time harmonic ring source is studied. Through the use of the modified Helmholtz equation as an intermediate, we obtain the solu ...