KnowraExponential generating functionLinked fromLinked fromThe 8 pages that link to Exponential generating function, each with the reason it gives.All 8Broader topic 2Related 5Compared with 1FactorialRelated: Dividing coefficients by factorials makes labeled combinatorial structures combine neatly.Stirling numbers of the second kindRelated: For fixed k, the exponential generating function is (eˣ−1)ᵏ/k!.Bell numberRelated: The Bell numbers have generating function exp(eˣ − 1), which yields useful identities.Lah numberRelated: The Lah numbers have a compact bivariate generating function encoding both indices.Twelvefold wayRelated: It naturally models assignments of distinguishable objects to labeled boxes.