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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

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📜 SIMILAR VOLUMES


Wallis's product, Brouncker's continued
✍ Jacques Dutka 📂 Article 📅 1982 🏛 Springer-Verlag 🌐 English ⚖ 585 KB

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

Continued Fractions and Generalized Patt
✍ Toufik Mansour 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 140 KB

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