论文标题
连续分数连续的组合,具有3个限制
Combinatorics of Continuants of Continued Fractions with 3 Limits
论文作者
论文摘要
我们给出组合描述在一般持续分数的连续性中发生的术语,这些术语持续到三个限制。将这些等同于由于Euler,sylvester和脑海引起的通常的组合描述,会引起非平凡的多项式身份。给出了特殊情况和计算序列的应用。
We give combinatorial descriptions of the terms occurring in continuants of general continued fractions that diverge to three limits. Equating these with the usual combinatorial descriptions due to Euler, Sylvester, and Minding induces nontrivial polynomial identities. Special cases and applications to counting sequences are given.