论文标题

q代数方程,其功率系列解决方案以及其系数的渐近行为

q-Algebraic Equations, their power series solutions, and the asymptotic behavior of their coefficients

论文作者

Barbe, Ph., Cano, J., Ayuso, P. Fortuny, McCormick, W. P.

论文摘要

我们对Q代数方程式进行系统研究。解决方案的存在,独特性和规律性的问题在基于网格的Hahn系列的空间中得到了解决。从系数的渐近行为来理解规律性,并且是这项工作的主要重点。结果和算法通过许多示例说明。

We give a systematic study of q-algebraic equations. The questions of existence, uniqueness and regularity of the solutions are solved in the space of grid-based Hahn series. The regularity is understood in terms of asymptotic behavior of coefficients, and is the main focus of this work. The results and algorithms are illustrated by many examples.

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