REMAINDERS FOR CONTINUED FRACTIONS,
Abstract
A study is made of the problem of whether or not a function is equal to its formal continued fraction expansion. This question is answered in terms of the convergence of the continued fraction and the relation of the region which contain the remainders of the continued fraction and the region which contains the quantities Bn/Bn-1, where Bn is the denominator of the nth approximate to the continued fraction. The problem of uniform convergence of the continued fraction is avoided. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1963
- Accession Number
- AD0430847
Entities
People
- T. L. Hayden
Organizations
- University of Wisconsin–Madison