Iterated primitives of logarithmic powers
Number Theory
2014-04-18 v2
Abstract
The evaluation of iterated primitives of powers of logarithms is expressed in closed form. The expressions contain polynomials with coefficients given in terms of the harmonic numbers and their generalizations. The logconcavity of these polynomials is established.
Cite
@article{arxiv.0911.1325,
title = {Iterated primitives of logarithmic powers},
author = {Luis A. Medina and Victor H. Moll and Eric S. Rowland},
journal= {arXiv preprint arXiv:0911.1325},
year = {2014}
}
Comments
11 pages