| Issue |
EPL
Volume 149, Number 6, March 2025
|
|
|---|---|---|
| Article Number | 62001 | |
| Number of page(s) | 5 | |
| Section | Mathematical and interdisciplinary physics | |
| DOI | https://doi.org/10.1209/0295-5075/adba0b | |
| Published online | 17 March 2025 | |
Identifying redundant singularity in Padé approximant
1 Department of Physics, Tianjin University - Tianjin 300350, PRC
2 Theoretical Physics Division, Chern Institute of Mathematics, Nankai University - Tianjin 300071, PRC
3 College of Physics and Materials Science, Tianjin Normal University - Tianjin 300387, PRC
Received: 14 November 2024
Accepted: 25 February 2025
The Padé approximant performs the pole analysis in statistical mechanics and particle physics. The Padé approximant can recover the singularity information lost in the polynomial approximation given by perturbation methods but also introduces redundant singularities. This paper presents a method to identify redundant singularities by analyzing the approximation itself rather than relying on the original function or underlying physical principles.
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