论文标题
检索大型指数的方法
Methods of Retrieving Large-Variable Exponents
论文作者
论文摘要
从小型变化的渐近扩展中确定变量倾向于无限的特征指数的方法。考虑了以下方法：diff-logpadé求和，自相似因子近似，自相似的差异套件求和，自相似的borel求和和自相似的Borel-Leroy求和。处理了几个典型的问题。结果的比较表明，所有这些方法提供了对大型指数的密切估计。当不同的求和方法彼此兼容时，获得可靠的估计值。
Methods of determining, from small-variable asymptotic expansions, the characteristic exponents for variables tending to infinity are analyzed. The following methods are considered: diff-log Padé summation, self-similar factor approximation, self-similar diff-log summation, self-similar Borel summation, and self-similar Borel-Leroy summation. Several typical problems are treated. The comparison of the results shows that all these methods provide close estimates for the large-variable exponents. The reliable estimates are obtained when different methods of summation are compatible with each other.
