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Journal articles

Ramanujan's Beautiful Integrals

Abstract : Throughout his entire mathematical life, Ramanujan loved to evaluate definite integrals. One can find them in his problems submitted to the Journal of the Indian Mathematical Society, notebooks, Quarterly Reports to the University of Madras, letters to Hardy, published papers and the Lost Notebook. His evaluations are often surprising, beautiful, elegant, and useful in other mathematical contexts. He also discovered general methods for evaluating and approximating integrals. A survey of Ramanujan's contributions to the evaluation of integrals is given, with examples provided from each of the above-mentioned sources.
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https://hal.archives-ouvertes.fr/hal-03208369
Contributor : Srinivas Kotyada Connect in order to contact the contributor
Submitted on : Monday, April 26, 2021 - 2:52:45 PM
Last modification on : Monday, March 28, 2022 - 8:14:08 AM
Long-term archiving on: : Tuesday, July 27, 2021 - 7:10:49 PM

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Bruce Berndt, Atul Dixit. Ramanujan's Beautiful Integrals. Hardy-Ramanujan Journal, Hardy-Ramanujan Society, 2021, Volume 43 - Special Commemorative volume in honour of Srinivasa Ramanujan - 2020, pp.69-82. ⟨10.46298/hrj.2021.7429⟩. ⟨hal-03208369⟩

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