Abstract
Multivariate Pade approximation is considered in the framework of the theory developed by A. Cuyt (1982). The denominators are determined from determinants of matrices whose entries are homogeneous polynomials. The main difference to the univariate case is a typical shift of the degree of the polynomials. Singularities atx=0 are analyzed since it is the rule rather than the exception that simultaneous zeros of the numerator and the denominator cannot be removed.
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