Abstract
A given function f can be approximated with a high degree of contact by its Pade approximant. Let us call the operator that associates with f its Pade approximant r n, m of degree n in the numerator and degree m in the denominator, the Pade operator P n, m . The fact that the Pade approximant is a rational function gives rise to a number of interesting questions. Since the concept of Pade approximant is defined both for univariate and multivariate functions, the following topics will each be discussed for both cases.
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