Publication:
Convergence in Hausdorff content of Padé-Faber approximants and its applications

Issued Date

2019-01-01

Resource Type

Article

ISSN

16860209

Other identifier(s)

2-s2.0-85063571296

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Thai Journal of Mathematics. Vol.17, (2019), 272-287

Suggested Citation

Waraporn Chonlapap, Nattapong Bosuwan Convergence in Hausdorff content of Padé-Faber approximants and its applications. Thai Journal of Mathematics. Vol.17, (2019), 272-287. Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/51234

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Title

Convergence in Hausdorff content of Padé-Faber approximants and its applications

Author(s)

Waraporn Chonlapap
 Nattapong Bosuwan

Other Contributor(s)

South Carolina Commission on Higher Education
 Mahidol University

Abstract

© 2019 by the Mathematical Association of Thailand. All rights reserved. A convergence in Hausdorff content of Padé-Faber approximants (re-cently introduced in [1]) on some certain sequences is proved. As applications of this result, we give an alternate proof of a Montessus de Ballore type theorem for these Padé-Faber approximants and a proof of a convergence of Padé-Faber approximants in the maximal canonical domain in which the approximated function can be continued to a meromorphic function.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/51234

Collections

Scopus 2019