Theorem on the convergence of Pade approximants
Journal Article
·
· Stud. Appl. Math.; (United States)
A proof is presented for a theorem which gives necessary and sufficient conditions on the distribution of poles and zeros of the Pade approximants for point-by-point convergence. The special case of convergence to a function meromorphic in a disk by a sequence of Pade approximants free of extraneous poles and zeros is proven.
- Research Organization:
- Brookhaven National Lab., Upton, NY
- OSTI ID:
- 7212451
- Journal Information:
- Stud. Appl. Math.; (United States), Journal Name: Stud. Appl. Math.; (United States) Vol. 55; ISSN SAPMB
- Country of Publication:
- United States
- Language:
- English
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