Abstract
The Padé approximants can be deduced in the commutative case from the Padé type approximants in using the orthogonal polynomials (see [1] and [6]). The same method is used in the case of a non-commutative algebra in [2] and [3]. The case of two-point Padé approximants can be solved in a similar way, in particular in a non-commutative algebra.
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Bibliography
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© 1987 Springer-Verlag
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Draux, A. (1987). Two-point Padé-type and Padé Approximants. In: Gilewicz, J., Pindor, M., Siemaszko, W. (eds) Rational Approximation and its Applications in Mathematics and Physics. Lecture Notes in Mathematics, vol 1237. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072454
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DOI: https://doi.org/10.1007/BFb0072454
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