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The divergence problem for multipoint Padé approximants of meromorphic functions

✍ Scribed by Hans Wallin

Publisher: Elsevier Science
Year: 1987
Tongue: English
Weight: 265 KB
Volume: 19
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(87)80009-2

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✦ Synopsis

The convergence theorem of de Montessus de Ballore type is satisfactory also for multipoint Pad6 approximants with very general interpolation schemes. The corresponding divergence result is less satisfactory. Here, as partial result, it is shown that an interpolation scheme of Kakehashi [1] from 1956 implies the divergence behaviour which you expect.

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