Meromorphic Reduction in Integration

2025/12/10 by M. L. Glasser, Glasser, M. L.
Mathematics · #Meromorphic and Entire Functions #Holomorphic and Operator Theory #Analytic and geometric function theory

paper · pdf · doi:10.48550/arxiv.2512.11910

Abstract

It is argued that for certain meromorphic functions u:\calR→\calR and analytic function A₁ and for any integrable function F, as long as it converges as a Cauchy Principal Value,, ∫_-∞^∞A₁(x)F[u(x)] dx=∫_-∞^∞ A₂(x)F(x) dx, where A₂ is also analytic.

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