A tiling approach to Fibonacci product identities
نویسندگان
چکیده
منابع مشابه
A tiling approach to eight identities of Rogers
Beginning in 1893, L. J. Rogers produced a collection of papers in which he considered series expansions of infinite products. Over the years, his identities have been given a variety of partition theoretic interpretations and proofs. These existing combinatorial techniques, however, do not highlight the similarities and the subtle differences seen in so many of these remarkable identities. It ...
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Many combinatorialists live by Mach’s words, and take it as a personal challenge. For example, nearly all of the Fibonacci identities in [5] and [6] have been explained by counting arguments [1, 2, 3]. Among the holdouts are those involving infinite sums and irrational quantities. However, by adopting a probabilistic viewpoint, many of the remaining identities can be explained combinatorially. ...
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ژورنال
عنوان ژورنال: Involve, a Journal of Mathematics
سال: 2010
ISSN: 1944-4176
DOI: 10.2140/involve.2009.2.581