Convergence of multipoint Pade approximants of piecewise analytic functions
Journal Article
·
· Sbornik. Mathematics
- Steklov Mathematical Institute, Russian Academy of Sciences, Moscow (Russian Federation)
The behaviour as n{yields}{infinity} of multipoint Pade approximants to a function which is (piecewise) holomorphic on a union of finitely many continua is investigated. The convergence of multipoint Pade approximants is proved for a function which extends holomorphically from these continua to a union of domains whose boundaries have a certain symmetry property. An analogue of Stahl's theorem is established for two-point Pade approximants to a pair of functions, either of which is a multivalued analytic function with finitely many branch points. Bibliography: 11 titles.
- OSTI ID:
- 22156550
- Journal Information:
- Sbornik. Mathematics, Vol. 204, Issue 2; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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