Generalized Brouncker’s continued fractions and their logarithmic derivatives
✍ Scribed by Olga Kushel
- Book ID
- 120762527
- Publisher
- Springer US
- Year
- 2013
- Tongue
- English
- Weight
- 533 KB
- Volume
- 32
- Category
- Article
- ISSN
- 1382-4090
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
A historical sketch is given of WALLIS'S infinite product for 4/~, and of the attempts which have been made, over more than three centuries, to find the method by which BROUNCKER obtained his equivalent continued fraction. A derivation of BROUNCKER'S formula is given. Early results obtained by India
Babson and Steingrimsson (2000, Séminaire 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 τ ;r (n) be the number of 1-3-2-avoiding permutations on n lett