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Rice University

On the convergence of continued fractions

Abstract

dc:description.abstract

In Chapter I of this paper, fundamental definitions in the theory of continued fractions are set forth. In Chapter II we give certain classical convergence theorems for continued fractions of various types. The results of Chapter III are original and sharpen a Mom convergence theorem due to Leighton and Wall.

Degree

thesis:*
Name thesis:degree_name
Master of Arts
Level thesis:degree_level
Masters
Discipline thesis:degree_discipline
Natural Sciences
Grantor
Rice University
Year dc:date.issued
1941

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Glass, Thomas Franklin
Advisor dc:contributor.advisor
  • Leighton, Walter

Rights

dc:rights
Statement dc:rights
  • Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.
Language dc:language.iso
eng

Identifiers

dc:identifier.*
Handle dc:identifier.uri
https://hdl.handle.net/1911/90180
OAI identifier oai:identifier
oai:repository.rice.edu:1911/90180

Chain of custody

source
Harvested from
Rice University
Base URL
repository.rice.edu/server/oai/request
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
related terms
citation

Glass, Thomas Franklin. On the convergence of continued fractions. Masters thesis, Rice University, 1941. https://hdl.handle.net/1911/90180