Meromorphic Reduction in Integration

M. L. Glasser

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arXiv · 2512.11910

Meromorphic Reduction in Integration

M. L. Glasser

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Abstract

It is argued that for certain meromorphic functions $u:\cal{R}\rightarrow\cal{R}$ and analytic function $ A_1$ and for any integrable function $F$, as long as it converges as a Cauchy Principal Value,, $$\int_{-\infty}^{\infty}A_1(x)F[u(x)] dx=\int_{-\infty}^{\infty} A_2(x)F(x) dx,$$ where $A_2$ is also analytic.

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M. L. Glasser. 2025-12-10. Meromorphic Reduction in Integration. https://arxiv.org/abs/2512.11910

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