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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.11910 |
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| _version_ | 1866912761429098496 |
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| author | Glasser, M. L. |
| author_facet | Glasser, M. L. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_11910 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Meromorphic Reduction in Integration Glasser, M. L. General Mathematics 26A06, 26A42 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. |
| title | Meromorphic Reduction in Integration |
| topic | General Mathematics 26A06, 26A42 |
| url | https://arxiv.org/abs/2512.11910 |