Treffer: Generalizations of the theorem of de Montessus to two-variable approximants
Title:
Generalizations of the theorem of de Montessus to two-variable approximants
Authors:
Source:
Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences. 342:341-372
Publisher Information:
The Royal Society, 1975.
Publication Year:
1975
Subject Terms:
Other generalizations of function theory of one complex variable, 0101 mathematics, Approximation in the complex plane, 01 natural sciences, Power series (including lacunary series) in one complex variable, Power series, series of functions of several complex variables, Continued fractions, complex-analytic aspects
Document Type:
Fachzeitschrift
Article
File Description:
application/xml
Language:
English
ISSN:
0080-4630
DOI:
10.1098/rspa.1975.0029
Access URL:
Rights:
Royal Society Data Sharing and Accessibility
Accession Number:
edsair.doi.dedup.....d4d1ee1b3e2031a781340f46d41e39e9
Database:
OpenAIRE
Weitere Informationen
A new proof of the theorem of de Montessus is given which does not depend upon the assumption of normality of the power series from which the Padé approximants are formed. The study is extended to sequences of approximants to double series, generalizations of Padé approximants. Several generalizations of the theorem of de Montessus to these sequences are stated and proved.