Jonquière's relation, sometimes also spelled "Joncquière's relation" (Erdélyi et al. 1981, p. 31), states
Erdélyi et al. (1981, p. 31), where is a polylogarithm, is the gamma function, and is the Hurwitz zeta function, and is not a member of the real interval .
The most general form of the identity valid everywhere in the complex plane is