Linear Sweep Voltammetry: Infinite Series Approximation
The solution of a current-potential curve in linear sweep voltammetry (LSV) can be expressed as an infinite series. Linear sweep voltammetry is a method in which the current at a working electrode is measured while the potential between the working electrode and a reference electrode is swept linearly in time.
At the working electrode, a catalytic reaction with reversible charge transfer occurs:
(rate constant ).
When , there is no catalytic reaction and this case becomes a simple reversible electrochemical reaction: .
The current-potential relation is solved from the Butler–Volmer equation and diffusion equation. The analytical solution in infinite series  was calculated using Mathematica's LerchPhi function.
 J. Mocak and A. M. Bond, "Use of Mathematica software for Theoretical Analysis of Linear Sweep Voltammograms," Journal of Electroanalytical Chemistry 561, 2004 pp. 191–202.