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| Format: | Recurso digital |
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Zenodo
2025
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| Online Access: | https://doi.org/10.5281/zenodo.15856214 |
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Table of Contents:
- <p>This note introduces a new class of "central Bernoulli numbers", denoted C_r(n), which arise naturally from the cascade coefficients of the Moment-Centred Decomposition (MVDC) method. It provides a proof that these numbers can be expressed in a closed form using Nörlund's generalised Bernoulli polynomials. A compact exponential generating function for C_r(n) is derived, and their relationship to the classical Bernoulli numbers is shown in the n→∞ limit. The paper serves as a self-contained analytic appendix to the main MVDC paper, anchoring the method in the classical theory of special polynomials.</p>