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

E. Lindsay Ince

doi:10.1017/S0013091500035094

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

E. Lindsay Ince

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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
Information: Proceedings of the Edinburgh Mathematical Society , Volume 32 , February 1913 , pp. 101 - 118

DOI: https://doi.org/10.1017/S0013091500035094 [Opens in a new window]

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

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