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Some convergence and divergence theorems for Hermite-Padé approximants

✍ Scribed by George A. Baker Jr; P.R. Graves-Morris


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
520 KB
Volume
59
Category
Article
ISSN
0377-0427

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Row Convergence Theorems for Vector-Valu
✍ P.R. Graves-Morris; J. Van Iseghem 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 366 KB

Yet another method of proof of de Montessus' 1902 theorem is given. We show how this proof readily extends to row convergence theorems for four different kinds of vector Pade approximants. These approximants all belong to the category associated with vector-valued C-fractions formed using generalise