论文标题
不可能在圆盘边界上汇合HEUN功能收敛
Impossibility of convergence of a confluent Heun function on the boundary of the disc of convergence
论文作者
论文摘要
汇合的heun方程是Heun微分方程的4种汇合形式之一，其中是二阶二阶方程，具有四个常规的奇异性。汇合的heun功能适用于各个领域，例如旋转/非旋转黑洞理论，对厚的brane单词的量学理论，schr $ \ ddot {\ mbox {\ mbox {o}} $ dinger dinger dinger dinger dinger in stark效应中的氢分子离子在stark效应中的氢离子等。收敛。
The confluent Heun equation is one of 4 confluent forms of Heun's differential equation in which is the Fuchsian equation of second order with four regular singularities. A confluent Heun function is applicable to diverse areas such as theory of rotating/non-rotating black hole, the gauge theories on thick brane words, Schr$\ddot{\mbox{o}}$dinger equation for hydrogen molecule ion in Stark effect and etc. The confluent Heun function consists of the three term recurrence relation in its power series, and we show that the function is divergent on the boundary of the disc of convergence.
