The Mittag-Leffler function is an entire function defined by the series E_α(z) congruent sum_(k = 0)^∞ z^k/(Γ(α k + 1)) for α>0. It is related to the generalized hyperbolic functions F_(α, r)^α(z) by F_(α, 0)^1(z) = E_α(z^n), and given explicitly in terms of generalized confluent hypergeometric functions as E_α(z) = _0 F_(α - 1)(;1/α, 2/α, ..., (α - 1)/α ;z/α^α). It is implemented in the Wolfram Language as MittagLefflerE[a, z] and MittagLefflerE[a, b, z].

Dawson's integral | generalized hyperbolic functions | Wright function