Published 2015-05-25
Keywords
- Basel problem,
- integrals,
- dilogarithm,
- trilogarithm,
- Catalan constant
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How to Cite
Some integrals related to the Basel problem. (2015). Scientia Series A: Mathematical Sciences, 26, 1-11. https://revistas.usm.cl/scientia/article/view/223
Abstract
We evaluate several arctangent and logarithmic integrals depending on a parameter. This provides a closed form summation of certain series and also integral and series representation of some classical constants.
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