论文标题
Malmsten积分案例的替代证明
An Alternate proof for a case of a Malmsten integral
论文作者
论文摘要
在本文中,为Malmsten积分的情况提供了直接证明。解决该积分的方法是一种直接的方法,在任何旧出版物中,作者均未累积。通过零件,拉普拉斯变换的集成,双曲线secant函数的积分表示以及交替系列的Digamma表示形式用于得出结果。
In this paper, a direct proof is presented for a case of a Malmsten integral. The method used in solving the integral is a direct one that the author has not come accross in any old or recent publication. Integration by parts, Laplace transform, an integral representation for the hyperbolic secant function, and the digamma representation for an alternating series are employed to derive the result.