Catalan numbers, q-Catalan numbers and hypergeometric series
β Scribed by George E Andrews
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 304 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The Catalan numb;r C, is defined to be 2n ( >I (n + 1). One of its occurrences is as the n number of ways of bracketing a product of n + 1 terms taken from a set with binaqr operation. In. this note the corresponding result for a set with a k-ary operation is considered. A combinatorial proof is gi
A class of numbers, called Catalan-like numbers, are introduced which unify many well-known counting coefficients, such as the Catalan numbers, the Motzkin numbers, the middle binomial coefficients, the hexagonal numbers, and many more. Generating functions, recursions and determinants of Hankel mat