Asymptotics and algebraicity of some generating functions
โ Scribed by William Beckner; Amitai Regev
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 552 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0001-8708
No coin nor oath required. For personal study only.
โฆ Synopsis
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 Press, Inc.
๐ SIMILAR VOLUMES
The main object of this paper is to show how readily some general results on bilinear, bilateral, or mixed multilateral generating functions for the Bessel polyno-ลฝ . mials would provide unifications and generalizations of numerous generating functions which were proven recently by using group-theor