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The Convergence of Padé Approximants to Functions with Branch Points

✍ Scribed by Herbert Stahl

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
821 KB
Volume
91
Category
Article
ISSN
0021-9045

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✦ Synopsis

analytic in a neighborhood of infinity will be approximated by Pade approximants. In a first group of results rather strong assumptions are made about the singularities of the function f to be approximated (Assumption 1.1). In a second group (Definition 1.3 and Theorem 1.7) a different type of assumption is used, which turns out to be more general.

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