Tuangrat Chaichana

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Recommended by Stéphane Louboutin Two kinds of series representations, referred to as the Engel series and the Cohen-Egyptian fraction expansions, of elements in two different fields, namely, the real number and the discrete-valued non-archimedean fields are constructed. Both representations are shown to be identical in all cases except the case of real(More)
The classical folding lemma is extended, in the field of formal series, to two-tier and three-tier folding lemmas covering all possible shapes of the words enclosing one and two middle terms. The two-fold and three-fold continued fraction identities so obtained are applied to derive a number of explicit continued fractions of certain series expansions,(More)
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