=+15. Let F(s) = n=1 fnsn be a probability generating function. Show that the equation F(s)

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=+15. Let F(s) = ∞

n=1 fnsn be a probability generating function. Show that the equation F(s) = 1 has only the solution s = 1 on |s| = 1 if and only if the set {n: fn > 0} has greatest common divisor 1.

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Applied Probability

ISBN: 9781441971647

2nd Edition

Authors: Kenneth Lange

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Question Posted: Nov 01, 2024 06:00 AM

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=+15. Let F(s) = n=1 fnsn be a probability generating function. Show that the equation F(s)

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Applied Probability

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