# EGF

(redirected from Exponential generating function)
Also found in: Encyclopedia.
AcronymDefinition
EGFEpidermal Growth Factor (protein)
EGFEast Grand Forks (Minnesota)
EGFEuropean Garden Flora (plant hardiness zones; Europe)
EGFEuropean Gendarmerie Force
EGFÉcole du Golf Français (French school of golf)
EGFElectricity Generating Facility (Connecticut)
EGFÉvaluation Globale du Fonctionnement (French: Global Assessment of Functioning; psychiatry scale)
EGFMurine Epidermal Growth Factor (also seen as mEGF)
EGFEmpresa Geral de Fomento (Portugese: General Company of Fomento)
EGFExponential Generating Function (mathematics)
EGFEmpirical Green's Function
EGFEncyclopédie Grammaticale du Français (French: Encyclopedia of Grammatical French)
EGFEuro Gaming Force (gaming clan)
EGFEspace Graphic Fidésien (French: Space Graphic Printing)
EGFEuropean Gold Finch
EGFEnclosed Ground Flare
EGFEntente Gymnastique du Faucigny (French gymnastics organization)
References in periodicals archive ?
Again, for y = i it is the exponential generating function of Hermite polynomials (cf.
Let [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] be the exponential generating function of the sequence of these numbers.
Let T(z), defined implicitly by T(z) = z[e.sup.T(z)], be the exponential generating function for rooted labelled trees, which is well known to have a square-root type singularity at 1/e.
That is, the Bernoulli equation has the solution which is the function of exponential generating function of the (h, q)-Euler numbers.
In Section 4, we enumerate these forbidden patterns by giving their bivariate exponential generating function (involving an additional parameter: the number of left-to-right maxima), and we give the corresponding asymptotics and limit law.
We show that the exponential generating function for labelled (3 + 1)-free posets is
We recall that the exponential generating function T(z) of rooted trees satisfies
Furthermore, [r.sub.k] is (r)elated to the number of involutions [s.sub.k] in the symmetric group by the binomial transform [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] and thus has exponential generating function [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
4 The exponential generating function and Borel summation
Corollary 14 states that the ratio of the ordinary to the exponential generating function of the sequence [([a.sub.n).sub.n[greater than or equal to]0] must be nonnegative.
Let C(z) be the exponential generating function of Cayley trees.
The form for [f.sub.n] given by (3) suggests that formulating the problem in terms of the exponential generating function may prove useful.
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