A summation due to Ramanujan revisited

DOI10.1007/S12044-016-0268-5zbMath1348.40004OpenAlexW2320928486MaRDI QIDQ282317

Tuo Yeong Lee, Dong Jun Jee, Nathaniel Zhi-Wei Leon

Publication date: 12 May 2016

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-016-0268-5

zbMATH Keywords

hyperbolic functionsalternating seriesregularly convergent double series

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Multiple sequences and series (40B05)

Cites Work

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• On the regular convergence of multiple series of numbers and multiple integrals of locally integrable functions over \({\bar {\mathbb R}}^m_+\)
• Two-dimensional series evaluations via the elliptic functions of Ramanujan and Jacobi
• Some convergence theorems for Lebesgue integrals

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