{{alias}}( t, α, β ) Evaluates the moment-generating function (MGF) for a gamma distribution with shape parameter `α` and rate parameter `β` at a value `t`. If `α <= 0` or `β <= 0`, the function returns `NaN`. If `α` or `β` is `NaN`, the function returns `NaN`. Parameters ---------- t: number Input value. α: number Shape parameter. β: number Rate parameter. Returns ------- out: number Evaluated MGF. Examples -------- > var y = {{alias}}( 0.5, 0.5, 1.0 ) ~1.414 > y = {{alias}}( 0.1, 1.0, 1.0 ) ~1.111 > y = {{alias}}( -1.0, 4.0, 2.0 ) ~0.198 > y = {{alias}}( NaN, 1.0, 1.0 ) NaN > y = {{alias}}( 0.0, NaN, 1.0 ) NaN > y = {{alias}}( 0.0, 1.0, NaN ) NaN > y = {{alias}}( 2.0, 4.0, 1.0 ) NaN > y = {{alias}}( 2.0, -0.5, 1.0 ) NaN > y = {{alias}}( 2.0, 1.0, 0.0 ) NaN > y = {{alias}}( 2.0, 1.0, -1.0 ) NaN {{alias}}.factory( α, β ) Returns a function for evaluating the moment-generating function (MGF) of a gamma distribution with shape parameter `α` and rate parameter `β`. Parameters ---------- α: number Shape parameter. β: number Rate parameter. Returns ------- mgf: Function Moment-generating function (MGF). Examples -------- > var myMGF = {{alias}}.factory( 3.0, 1.5 ); > var y = myMGF( 1.0 ) ~27.0 > y = myMGF( 0.5 ) ~3.375 See Also --------