A generalization of the Hurwitz Zeta Function and Polylogarithm function. Many sums of reciprocal Powers
can be expressed in terms of it. It is defined by
(1) |
The Lerch transcendent can be used to express the Dirichlet Beta Function
(2) |
(3) |
See also Dirichlet Beta Function, Dirichlet L-Series, Fermi-Dirac Distribution, Hurwitz Zeta Function, Polylogarithm