11. Show that the generating function Hn of the total number of individuals in the first n generations of a branching process satisfies Hn(s) = sG(Hn-1(s)).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.1: Systems Of Equations
Problem 44E
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11. Show that the generating function Hn of the total number of individuals in the first n generations
of a branching process satisfies Hn(s) = SG (Hn-1 (s)).
Transcribed Image Text:11. Show that the generating function Hn of the total number of individuals in the first n generations of a branching process satisfies Hn(s) = SG (Hn-1 (s)).
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