Some determinants of path generating functions
โ Scribed by J. Cigler; C. Krattenthaler
- Book ID
- 108047167
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 343 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0196-8858
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Some generating functions C, .0 f (n) x", arising in combinatorics and algebra, are shown to be nonalgebraic by calculating the asymptotics of f(n). Some other such generating functions are shown to be algebraic by an application of determinantal varieties and G-invariant ideals. It? 1987 Academic
A well known formula for evaluating Toeplitz determinants with rational generating functions due to DAY [Trans. Amer. Math. SOC. 206 (1975), 224 -2451 is complemented by a little known formula involving determinant of reduced order. The latter formula is used to evaluate some Toeplitz determinants w