New proof and variants of a referenced logarithmic-power integral
Keywords:
analysis, integral, logarithmic inequalityAbstract
This article contributes to mathematical analysis by (i) presenting an elegant proof of a specific integral, (ii) demonstrating its connection with an existing result, and (iii) introducing previously unexplored
variants.
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References
Gradshteyn, I.S. and Ryzhik, I.M. Table of Integrals, Series, and Products, 7th Edition, Academic Press, 1-1221, (2007).
Reynolds, R. and Stauffer, A. A definite integral involving the logarithmic function in terms of the Lerch function, Mathematics, 7, 1148, (2019).
Reynolds, R. and Stauffer, A. Definite integral of arctangent and polylogarithmic functions expressed as a series, Mathematics, 7, 1099, (2019).
Reynolds, R. and Stauffer, A. Derivation of logarithmic and logarithmic hyperbolic tangent integrals expressed in terms of special functions, Mathematics, 8, 687, (2020).
Reynolds, R. and Stauffer, A. A quadruple definite integral expressed in terms of the Lerch function, Symmetry, 13, 1638, (2021).
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Copyright (c) 2024 Christophe Chesneau
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