Fractional moments

2021/10/22 by Óscar Ciaurri, Ciaurri, Óscar
Mathematics · #Mathematical functions and polynomials #Advanced Mathematical Identities #Mathematical Inequalities and Applications

paper · pdf · doi:10.48550/arxiv.2110.11643

Abstract

We evaluate the moments of some functions composed with the fractional part of 1/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 x^m and x^m(1-x)^m.

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