ON BAUER–MUIR TRANSFORM OF CONTINUED FRACTIONS
2013
In this paper a convergence theorem for continued fractions with negative parameters is proved. We define a transformation of a certain kind of continued fractions to the same kind of continued fractions. This transformation is obtained by multiple application of the Bauer–Muir transform and then using the limiting process. It is shown that a double application of this transformation is the identity transformation.
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