Summary
Two-point Padé-type approximants are introduced in the case of a non-commutative algebra on a commutative field. Algebraic properties are given and a study of the error of approximation is done. From the relation of the error and some additional properties, two-point Padé approximants are found. Algebraic properties and recurrence relations are proved. The means to compute these approximants in following any way in the table of the approximants are given. The mixed table is introduced, as well as the normality and some results of convergence of two-point Padé-type and Padé approximants.
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Draux, A. On two-point Padé-Type and two-Point Padé approximants. Annali di Matematica pura ed applicata 158, 99–150 (1991). https://doi.org/10.1007/BF01759301
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DOI: https://doi.org/10.1007/BF01759301