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On the Continued Fractions associated with the Hypergeometric Equation
Published online by Cambridge University Press: 20 January 2009
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The present paper is based on a method attributed to Euler of expressing as a continued fraction the logarithmic derivate of a solu tion of a linear differential equation of the second order. The method is particularly applicable to equations of hypergeometric type, and, in that connection, was previously employed by the present author as a means of adding to the number of known transformations of continued fractions.
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- Copyright © Edinburgh Mathematical Society 1916
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