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关于积分参数无关性的技术问询

关于积分参数无关性的技术问询

Hey everyone,

I was working through some calculations related to particle-to-particle collisions and entropy when I ran into a tricky problem. Since similar integral setups come up in Feynman integral computations, I figured this might be of interest to other folks in the community too.

My Question

Is the following integral independent of the parameter $z$ (where $0 < z < 1$)?
$$\int_0^1\frac{\log\vert z-t\vert}{\sqrt{t-t^2}}dt.$$

备注:内容来源于stack exchange,提问作者T. Amdeberhan

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最近更新时间:2026.04.23 11:02:35