E745 -- De fractionibus continuis Wallisii

(On the continued fractions of Wallis)


This paper is connected with E123. Euler looks at functions f that satisfy a relation like f(x)f(x + 1) = (b + ax)2 + c, for x = 0, 1, 2, .... Somehow this gives rise to a monster improper integral that has as part of its integrand cos(b log x).

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