Generalized continued fractions and Whittaker's approach
β Scribed by L.R. Shenton; K.O. Bowman
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 171 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Babson and Steingrimsson (2000, SΓ©minaire Lotharingien de Combinatoire, B44b, 18) introduced generalized permutation patterns that allow the requirement that two adjacent letters in a pattern must be adjacent in the permutation. Let f Ο ;r (n) be the number of 1-3-2-avoiding permutations on n lett
We show some new variations on Tasoev's continued fractions [0; a k , . . . , a k m ] β 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
Found in the collected works of Eisenstein are twenty continued fraction expansions. The expansions have since emerged in the literature in various forms, although a complete historical account and self-contained treatment has not been given. We provide one here, motivated by the fact that these exp