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Some explicit continued fraction expansions
Author(s) -
France M. Mendes,
Poorten A. J.
Publication year - 1991
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300006380
Subject(s) - mathematics , fraction (chemistry) , laurent series , product (mathematics) , property (philosophy) , pure mathematics , yield (engineering) , field (mathematics) , continued fraction , series (stratigraphy) , arithmetic , geometry , paleontology , philosophy , chemistry , materials science , organic chemistry , epistemology , metallurgy , remainder , biology
We determine infinite products in the field of Laurent series with the property that the truncations of the product yield every second continued fraction convergent of the product. We mention some related examples and specialize to obtain numerical results.