On Some Doubly Logarithmic Integrals
Duc Van Khanh Tran
TL;DR
This paper proves new identities involving doubly logarithmic integrals from Gradshteyn and Ryzhik's table, expanding the understanding of complex integral evaluations.
Contribution
It introduces novel proofs for specific doubly logarithmic integrals listed in Gradshteyn and Ryzhik, enriching the existing compendium of integral identities.
Findings
New doubly logarithmic integral identities proved
Enhanced understanding of complex integral evaluations
Contributions to mathematical tables of integrals
Abstract
There have been many works on proving the integrals in the table of integrals compiled by Gradshteyn and Ryzhik, and in this paper we prove some doubly logarithmic integral identities in the Gradshteyn and Ryzhik table.
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Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · Mathematical functions and polynomials