论文标题
关于某些身份的注释，涉及代数方程超几何解的特殊功能
A note on some identities involving special functions from the hypergeometric solution of algebraic equations
论文作者
论文摘要
从$ x^{n} -x+t = 0 $的代数解，对于$ n = 2,3,4 $和相应的解决方案，就超几何函数而言，我们获得了一组用于超细几幅功能的还原公式。通过分化和集成这些结果，并应用了超几何函数的其他已知还原公式，我们得出了特殊功能的新还原公式，以及在基本功能方面的某些无限积分的计算。
From the algebraic solution of $x^{n}-x+t=0$ for $n=2,3,4$ and the corresponding solution in terms of hypergeometric functions, we obtain a set of reduction formulas for hypergeometric functions. By differentiation and integration of these results, and applying other known reduction formulas of hypergeometric functions, we derive new reduction formulas of special functions as well as the calculation of some infinite integrals in terms of elementary functions.
