The integrals in Gradshteyn and Ryzhik. Part 1: An Addendum
Kunle Adegoke, Robert Frontczak, Taras Goy
TL;DR
This paper introduces a new generalization of a logarithmic integral involving three parameters, expanding on previous work and connecting the evaluation to harmonic numbers.
Contribution
It provides a novel three-parameter family of integrals related to logarithmic functions, with explicit evaluations involving harmonic numbers.
Findings
New three-parameter integral family introduced
Explicit evaluation formulas involving harmonic numbers derived
Generalization extends previous logarithmic integral studies
Abstract
We present another generalization of a logarithmic integral studied by V.~H. Moll in 2007. The family of integrals contains three free parameter and its evaluation involves the harmonic numbers.
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Taxonomy
TopicsMathematical functions and polynomials · Mathematical Inequalities and Applications · Mathematics and Applications