反常积分

对满足一类新的含反常积分非线性不等式的有界函数建立了先验逐点估计。

A priori point-wise estimations are established for bounded functions satisfying a new class of nonlinear inequalities involving improper integrals .

数项级数与反常积分关系的几个问题

Several Issues of the Relationship between Multinomial Series and Abnormal Calculus

根据量子力学推出的一个反常积分公式

An anomalous integral formula deduced from quantum mechanics Unusual Atoms

反常积分敛散性极限审敛法的等价定理

An equivalence theorem of criterion of convergence of abnormal integral

由伽马函数引出一个较普遍的反常积分公式

A Common Singular Integral Formula from Gamma Function

收敛无穷限反常积分被积函数在无穷远处的极限

The Limit of the Integrand of Convergent Abnormal Integral in the Infinite Range of Integration at Infinity

根据一维无限深势阱的归一化条件推出了一个反常积分公式。

Based on the normalizing of one dimensional infinite potential well , an anomalous integral formula is deduced .

在众多情况下它可以取极限形式。这一微分判别法也是一般函数项级数和无穷限反常积分的判别法。

This differential test is also a test of the series of functions and one of the infinite integral .

无穷限反常积分收敛时，其被积函数在无穷远处的极限不一定为零。

The limit of the integrand f ( x ) of abnormal integral , which is convergent in the infinite range of integration , is not certainly equal zero at infinity .

探讨了数项级数与反常积分的关系，分别从收敛性、和值的计算与估计、反常积分作为级数的极限等方面提出了若干问题，并进行了较深入的分析与解答。

This article discusses about the relationship between multinomial series and abnormal calculus , raises several questions from the perspective of convergence , sum counting , estimation and abnormal calculus as a limit of series and makes deeper analysis and answers .