Published 2025-02-09
DOI:
https://doi.org/10.71712/6k7n-5750Keywords
- Prudnikov ,
- Gradshteyn and Ryzhik ,
- denite integral,
- Catalan's constant,
- contour integration
- elliptic functions,
- special functions ...More
Copyright (c) 2025 Scientia Series A: Mathematical Sciences
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
How to Cite
Reynolds, R. . (2025). Derivation of some de nite integrals. Scientia Series A: Mathematical Sciences, 36, 37-137. https://doi.org/10.71712/6k7n-5750
Abstract
In this work derivations of de nite integrals listed in Prudnikov volume I, Gradshteyn and Ryzhik and a few other tables are produced along with errata. Special cases of these integrals in terms of fundamental constants are also evaluated. The method used in these derivations is contour integration.
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