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On certain theorems in Continued Fractions equivalent to Riemann's and other Transformations of the P-function

Published online by Cambridge University Press:  20 January 2009

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The transformation of Continued Fractions into one another is a subject in which very little work has so far been done. Beyond the simple transformations given in works on elementary algebra, few transformation-theorems are known ; the best known being those connected with the “contraction” and “extension” of Continued Fractions, and the transformations of Euler, Bauer and Muir.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1913