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In the general case, when none of the numerators are zero, the problem is solved by finding the largest real root of (3.8) with g(X) = 1. Classical root calculation procedures, such as Newton's method, should encounter no difficulty. If one or more of the numerators are zero, the computation is simpler. For example, if z = 0, g(X) = R2x2/X2 and Case I applies ifX = jRx > 1. Then y, = Y2 = O, Y3 = ? 1; if I Rx I < 1, then Case II applies and yi = 0, Y2 = (1 R2x2)"2, y3 = Rx. The geometric interpretation of this is that the Coriolis term predominates for large x values.

Questions concerning Khintchine’s constant and the efficient computation of regular continued fractions