Back to Search Start Over

A convergence theorem for limitƤrperiodisch š¯‘‡-fractions of rational functions

Authors :
Kari Hag
Source :
Proceedings of the American Mathematical Society. 32:491-496
Publication Year :
1972
Publisher :
American Mathematical Society (AMS), 1972.

Abstract

We prove that a limitärperiodisch T-fraction, which corresponds to a rational function, converges (locally uniformly) to the original function in a certain domain.

Subjects

Subjects :
Discrete mathematics
Pure mathematics
Computer Science::Information Retrieval
Applied Mathematics
General Mathematics
Euler's continued fraction formula
Rational function
Function (mathematics)
Domain (mathematical analysis)
symbols.namesake
symbols
Chain sequence
Convergence tests
Generalized continued fraction
Continued fraction
Mathematics

Details

ISSN :
10886826 and 00029939
Volume :
32
Database :
OpenAIRE
Journal :
Proceedings of the American Mathematical Society
Accession number :
edsair.doi...........b49aca32c934b0878be22cf0b76cccd9
Full Text :
https://doi.org/10.1090/s0002-9939-1972-0291421-1
Full Text Access
View/download PDF

Tools

Authors Abstract Subjects Details