Analysis of aperture-coupled microstrip antennas with a superstrate using space domain closed form Green's functions is presented. Integral equations are derived from applying the boundary conditions on the radiating patch, across the aperture, and on the microstrip feedline. The computation of space domain green's functions is performed using the closed-form. The solution of the integral equat...

The Frobenius number F (a) of an integer vector a with positive coprime coefficients is defined as the largest number that does not have a representation as a positive integer linear combination of the coefficients of a. We show that if a is taken to be random in an expanding d-dimensional domain, then F (a) has a limit distribution, which is given by the probability distribution for the coveri...

Asymptotic expansions for a wide class of distribution are studied. Simple method for the computation of the series coefficients is suggested. The case when regularization parameter of distribution depends on the asymptotic parameter is considered.