Document Type

Article

Publication Date

2002

Abstract

Continued fractions whose elements are polynomial sequences have been carefully studied mostly in the cases where the degree of the numerator polynomial is less than or equal to two and the degree of the denominator polynomial is less than or equal to one. Here we study cases of higher degree for both numerator and denominator polynomials, with particular attention given to cases in which the degrees are equal. We extend work of Ramanujan on continued fractions with rational limits and also consider cases where the limits are irrational.

Publication Title

Acta Arithmetica

ISSN

0065-1036

Publisher

Institute of Mathematics, Polish Academy of Sciences

Volume

103

Issue

4

First Page

329

Last Page

342

Comments

Preprint version is available here.

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