English

Fractional moments

Classical Analysis and ODEs 2021-10-25 v1

Abstract

We evaluate the moments of some functions composed with the fractional part of 1/x1/x. We name them fractional moments. In particular, we obtain expressions for the fractional moments of some trigonometric functions, the Bernoulli polynomials and the functions xmx^m and xm(1x)mx^m(1-x)^m.

Keywords

Cite

@article{arxiv.2110.11643,
  title  = {Fractional moments},
  author = {Óscar Ciaurri},
  journal= {arXiv preprint arXiv:2110.11643},
  year   = {2021}
}
R2 v1 2026-06-24T07:05:56.113Z