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

Famous quotes containing the words clausen and/or function:

    ... the attempt to control poetry, to subordinate it to extrapoetic ends, constitutes misuse.... it may be poetry’s stubborn quality of rockbottom, intrinsic uselessness which ... constitutes the guarantee of its integrity, and hence of its ultimate value to us.
    —Jan Clausen (b. 1943)

    My function in life is not to be a politician in Parliament: it is to get something done.
    Bernadette Devlin (b. 1947)