Sums of powers via backward finite differences and Newton's formula

Zenodo (CERN European Organization for Nuclear Research) 2026 Preprint Open access

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Authors: Petro Kolosov
DOI: 10.5281/zenodo.18118012
Cited by: 0

Abstract

Abstract We develop formula for sums of powers using Newton's interpolation formula in terms of backward finite differences of powers. Metadata DOI: https://doi.org/10.5281/zenodo.18118011 MSC2010: 05A19, 05A10, 11B83, 03C40. Keywords: Sums of powers, Newton's interpolation formula, Finite differences, Binomial coefficients, Faulhaber's formula,Bernoulli numbers, Bernoulli polynomials, Interpolation, Combinatorics, Central factorial numbers, OEIS, Stirling numbers,Eulerian numbers, Worpitzky identity.

Fields of Study & Subjects

Advanced Mathematical Identities Mathematical Inequalities and Applications Advanced Mathematical Theories and Applications

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
1 January 2026
Language
EN
Document type
Preprint