A comparison is made between Pade and Pade -type approximants. Let Q n be the n th orthonormal polynomial with respect to a positive measure + with compact support in C. We show that for functions of the form where w is an analytic function on the support of +, Pade -type approximants with denomina
Padé approximants and convergence in capacity
✍ Scribed by Ch Pommerenke
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 253 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
The nested multivariate Pade approximants were recently introduced. In the case of two variables x and y, they consist in applying the Pade approximation with respect to y to the coefficients of the Pade approximation with respect to x. The principal advantage of the method is that the computation o
The aim of this paper is to define vector Pade -type approximants and vector Pade approximants following the same ideas as in the scalar case. This approach will be possible using Clifford's algebra structures. Vector Pade approximants will be derived from the theory of formal vector orthogonal poly