Multivariate Partial Newton-Padé and Newton-Padé Type Approximants Original Research Article

The notion of partial Padé approximant is generalized to that of general order multivariate partial Newton-Padé approximant. Previously introduced multivariate Padé-type approximants are recaptured as special cases so that it is a true and unifying generalization. The last section contains numerical results for the bivariate Beta function.