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Some Remarks on Glaisher-Ramanujan Type Integrals

Patkowski Alexander, Wolf Marek

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. We also present a Mathematica program calcu ...