论文标题
HEUN方程的扰动连接公式
Perturbative connection formulas for Heun equations
论文作者
论文摘要
与相应功率序列的大量渐近学表示，可以在不同紫红色奇异点上与线性odes的Frobenius解决方案相关的连接公式。我们证明，对于通常的，汇合和减少的汇合HEUN方程，可以系统地计算出适当的参数中相关渐近幅度的串联扩展为任意阶。这允许检查最近的猜想，该猜想是根据准经典的Virasoro保形块来表达HEUN连接矩阵的bonelli-iossa-panea lichtig-tanzini。
Connection formulas relating Frobenius solutions of linear ODEs at different Fuchsian singular points can be expressed in terms of the large order asymptotics of the corresponding power series. We demonstrate that for the usual, confluent and reduced confluent Heun equation, the series expansion of the relevant asymptotic amplitude in a suitable parameter can be systematically computed to arbitrary order. This allows to check a recent conjecture of Bonelli-Iossa-Panea Lichtig-Tanzini expressing the Heun connection matrix in terms of quasiclassical Virasoro conformal blocks.
