Niederhausen, H., Factorials and Stirling numbers in the algebra of formal Laurent series, Discrete Mathematics 90 (1991) 53-62. In the algebra of formal Laurent series, the falling factoral powers x(") are generalized to {x}'") for all integers n. The Stirling coefficients map the standard basis o
The algebra of formal series
β Scribed by Steven Roman
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 785 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0001-8708
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We consider the continued fraction expansion of certain algebraic formal power series when the base field is finite. We are concerned with the property of the sequence of partial quotients being bounded or unbounded. We formalize the approach introduced by Baum and Sweet (1976), which applies to the
95α125 studied the necklace polynomials, and were lead to define the necklace algebra as a combinato-Ε½ rial model for the classical ring of Witt Β¨ectors which corresponds to the multi-. plicative formal group law X q Y y XY . In this paper, we define and study a generalized necklace algebra, which i