A class of logarithmic integrals
Luis Medina, Victor Moll
TL;DR
This paper systematically investigates integrals over [0,1] involving rational functions multiplied by a double logarithmic term, expanding understanding of their properties and potential applications.
Contribution
It introduces a comprehensive analysis of a class of logarithmic integrals with rational functions and double logarithmic factors, providing new formulas and insights.
Findings
Derived explicit formulas for specific integrals
Identified conditions for convergence and divergence
Extended known results on logarithmic integrals
Abstract
We present a systematic study of integrals over [0,1] where the integrand is of the form Q(x) log log 1/x. Here Q is a rational function.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical functions and polynomials · Analytic Number Theory Research · Mathematics and Applications