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Tasoev's continued fractions and Rogers–Ramanujan continued fractions

✍ Scribed by Takao Komatsu

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 201 KB
Volume: 109
Category: Article
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2004.06.001

No coin nor oath required. For personal study only.

✦ Synopsis

We show some new variations on Tasoev's continued fractions [0; a k , . . . , a k m ] ∞ k=1 , where the periodic parts include the exponentials in k instead of the polynomials in k. We also mention some relations with other kinds of continued fractions, in particular, with Rogers-Ramanujan continued fractions.

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