Iterated primitives of logarithmic powers

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.

11 pages

References in corpus (3)

• Questions about determinants and polynomials
• Series of Reciprocal Powers of k-almost Primes
• A Proof of Moll's Minimum Conjecture

Cited by in corpus (3)

• Regenerative random permutations of integers
• On the genesis of BBP formulas
• The iterated integrals of ln(1 + x^2)