Clausen Function


In mathematics, the Clausen function is defined by the following integral:

It was introduced by Thomas Clausen (1832).

The Lobachevsky function Λ or Л is essentially the same function with a change of variable:

though the name "Lobachevsky function" is not quite historically accurate, as Lobachevsky's formulas for hyperbolic volume used the slightly different function

Read more about Clausen Function:  General Definition, Relation To Polylogarithm, Kummer's Relation, Relation To Dirichlet L-functions, Series Acceleration, Special Values

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