论文标题
关于振荡积分的渐近膨胀,具有一个相位函数的相位函数,该函数由一个变量的正真实功能函数和实际分析函数的产物表达
On asymptotic expansions of oscillatory integrals with phase functions expressed by a product of positive real power function and real analytic function in one variable
论文作者
论文摘要
在本文中,通过在一个变量中使用振荡积分的渐近膨胀,具有正真实幂相函数,我们获得了振荡积分的渐近扩展,并具有由一个由正面幂函数和真实分析函数的产物表达的相功能表达的相位函数。此外,我们展示了一个示例,我们可以具体地计算渐近扩展中的所有术语系数。
In this paper, by using asymptotic expansions of oscillatory integrals with positive real power phase functions in one variable, we obtain asymptotic expansions of oscillatory integrals with phase functions expressed by a product of positive real power function and real analytic function in one variable. Moreover we show an example which we can compute all coefficients of terms in asymptotic expansions concretely.