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arXiv · 1505.01530

Some Remarks on Glaisher-Ramanujan Type Integrals

Alexander E. Patkowski
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Abstract

Some integrals of the Glaisher-Ramanujan type are established in a more general form than in previous studies. As an application we prove some Ramanujan-type series identities, as well as a new formula for the Dirichlet beta function at the value $s=3.$

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Alexander E. Patkowski. 2015-05-06. Some Remarks on Glaisher-Ramanujan Type Integrals. https://doi.org/10.12921/cmst.2016.22.02.005

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