Abstract
In this article, we prove some identities which allow us to evaluate some multiple unit square integrals. In our examples, we will give the value of some double and triple integrals. We then prove several classical integral formulas with the help of these identities and present others that seem to be new. Finally, we get double integrals for classical constants and different expressions for two Ramanujan’s integral formulas.
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References
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Acknowledgments
Special thanks to Jesús Guillera and Jonathan Sondow for their help in the revision of the article, and to those who reviewed this work in the first instance. The author also expresses his thanks to anonymous referee whose comments have been very helpful in improving the presentation of this article.
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Sampedro, J.C. Some unit square integrals. Ramanujan J 40, 541–555 (2016). https://doi.org/10.1007/s11139-016-9787-z
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DOI: https://doi.org/10.1007/s11139-016-9787-z