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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Analytic expressions for continued fractions over a vector space


Author: F. A. Roach
Journal: Proc. Amer. Math. Soc. 56 (1976), 135-139
MSC: Primary 30A22
DOI: https://doi.org/10.1090/S0002-9939-1976-0404599-7
MathSciNet review: 0404599
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Abstract: In previous papers, we considered continued fractions obtained from a type of “geometric reciprocal". In this paper we develop certain “analytical” formulas for such continued fractions and, by using these formulas, obtain results analogous to certain classical theorems for ordinary continued fractions.


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Keywords: Continued fractions
Article copyright: © Copyright 1976 American Mathematical Society