We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
Published online by Cambridge University Press: 15 September 2014
The homogeneous linear equation of the second order may be solved by means of a, continued fraction whose elements are coefficients in the equation. The two dimensional continued fraction is generalised to m dimensions and yields the solution of the equation of the mth order.
page 92 note * Proc. Camb. Phil. Soc., 26, p. 127, 1930.
page 96 note * See Milne-Thomson, L. M., Proc. Camb. Phil. Soc., 27, p. 26, 1931CrossRefGoogle Scholar, where a general operational method, applicable to all linear equations with constant coefficients, is given. The above equation is here taken merely as the simplest illustration of the continued fraction method.
