论文标题
带有双向触发的持续分数系数的离散M函数
Discrete m-functions with Doubly Palindromic Continued Fraction Coefficients
论文作者
论文摘要
我们证明，当且仅当持续分数系数的周期性部分是双重的palindromic时，最终具有定期持续分数系数的离散M函数与其第二个解决方案具有代数关系。在这种情况下，双向性膜意味着每个序列是两个重复的串联的串联，并且满足了这些腔膜的长度之间的兼容条件。
We demonstrate that discrete m-functions with eventually periodic continued fraction coefficients have an algebraic relationship to their second solution if and only if the periodic part of the sequence of continued fraction coefficients is doubly palindromic. In this setting, doubly palindromic means that each sequence is a repeated concatenation of two palindromes and a compatibility condition between the lengths of these palindromes is satisfied.
