In mathematics, the Clausen function, introduced by Thomas Clausen (1832), is a transcendental, special function of a single variable. It can variously...

Clausen function Complete Fermi–Dirac integral, an alternate form of the polylogarithm. Dilogarithm Incomplete Fermi–Dirac integral Kummer's function...

A similar result holds for the trigamma function but the circular functions are replaced by Clausen's function. Namely, ψ 1 ( p q ) = π 2 2 sin 2 ⁡ ( π...

{z^{k}}{k^{s}}}} which coincides with the Riemann zeta function when z = 1. The Clausen function Cls(θ) can be chosen as the real or imaginary part of...

Clausen is a Danish patronymic surname, literally meaning child of Claus, Claus being a German form of the Greek Νικόλαος, Nikolaos, (cf. Nicholas), used...

then expressing those Clausen functions in terms of the Barnes G-function, the following expression is obtained (see Clausen function for more): G = 4 π...

stroke ת : Hebrew letter Taw El is sometimes used to represent the Clausen function, and if not, the capital greek letter Lambda is. The dictionary definition...

This is a list of some well-known periodic functions. The constant function f (x) = c, where c is independent of x, is periodic with any period, but lacks...

log-tangent integral on the right-hand side can be evaluated in terms of the Clausen function (of order 2), as is shown below: 2 π log ⁡ ( G ( 1 − z ) G ( 1 + z...

} The function D(z) is sometimes called the Bloch-Wigner function. Lobachevsky's function and Clausen's function are closely related functions. William...