标题： 热核系数的计算及计算机代数的使用 显示英文标题

标题： Calculation of Heat-Kernel Coefficients and Usage of Computer Algebra

摘要： 使用经典DeWitt算法计算热核系数已被讨论。 我们给出了一般情况下到$h_5$的系数显式形式以及最小部分到$h_7^{min}$的系数显式形式。 结果与其他论文中的表达式进行了比较。 提出了一种优化在通用计算机代数系统上处理大表达式时内存使用的办法。 显示英文摘要

摘要： The calculation of heat-kernel coefficients with the classical DeWitt algorithm has been discussed. We present the explicit form of the coefficients up to $h_5$ in the general case and up to $h_7^{min}$ for the minimal parts. The results are compared with the expressions in other papers. A method to optimize the usage of memory for working with large expressions on universal computer algebra systems has been proposed.