is transcendental over ޑ X when t is an integer G 2. This is due to Stanley for t even, and independently to Flajolet and to Woodcock and Sharif for the general case. While Stanley and Flajolet used analytic methods and studied the asymptotics of the coefficients of this series, Woodcock and Shari
Formal powers and power series
✍ Scribed by Lipman Bers
- Publisher
- John Wiley and Sons
- Year
- 1956
- Tongue
- English
- Weight
- 906 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We consider the problem of predicting long sequences of zero coefficients in a power series obtained by multiplication, division or reversion (where all coefficients are integers). We describe efficient randomized algorithms whose probability of error can be controlled by the user. A runtime analysi
We represent spherically symmetric, static, and non-singular solutions of the Einstein-SU(2)-Yang-Mills and the Yang-Mills-dilaton system by means of formal power series expansions. Their coefficients are algebraically expressed in terms of new recursion relations. The solutions of Bartnik and McKin
Let R be a commutative ring with 1, and let R = t + t 2 R͠t͡ be the group of normalized formal power series over R under substitution. In this paper we investigate the connection between the ideal structure of R and the normal subgroup structure of R . In particular, we show that, if K is a finite f