Generalized Multivariate Rectangular Matrix PadÉ-Type Approximants

A new method for the construction of generalized multivariate rectangular matrix Pade-type approximants on a rectangular grid is introduced in this paper, by choosing an arbitrary monic bivariate polynomial as the generating one of the approximant. We discuss their several typical important properties and study the connection between bivariate rectangular matrix Pade-type approximants and Pade approximants. The arguments given in detail in two variables can extend directly to the case of d variables (d ges 2).