The integrals in Gradshteyn and Ryzhik. Part 15: Frullani integrals
Matthew Albano, Tewodros Amdeberhan, Erin Beyerstedt, Victor H. Moll
TL;DR
This paper reviews and presents a selection of integrals from Gradshteyn and Ryzhik's table that can be expressed as Frullani integrals, providing insights into their structure and evaluation.
Contribution
It offers a curated collection of Gradshteyn and Ryzhik integrals reducible to Frullani form, enhancing understanding and application of these integrals.
Findings
Identification of Gradshteyn and Ryzhik integrals of Frullani type
Simplification of selected integrals to Frullani form
Potential for easier evaluation of these integrals
Abstract
The table of Gradshteyn and Ryzhik contains some integrals that can be reduced to the Frullani type. We present a selection of them.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Algebra and Geometry · Analytic Number Theory Research