Closed Form Continued Fraction Expansions of Special Quadratic Irrationals
نویسندگان
چکیده
منابع مشابه
Closed Form Continued Fraction Expansions of Special Quadratic Irrationals
We explore methods for determining the underlying structure of certain classes of continued fractions . The goal is to develop closed form expressions for the continued fractions of many quadratic irrationals. Consider a finite difference equation satisfying: • Gn+1 = anGn + bnGn−1. • an = m, and bn = l for all n, where m, l ∈ N note: m = l = 1 gives the Fibonacci numbers. Let Gn denote the n t...
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ژورنال
عنوان ژورنال: ISRN Combinatorics
سال: 2013
ISSN: 2090-8911
DOI: 10.1155/2013/414623