Polynomial Probability Generating Functions with All Roots Real
Research Report 97-32
Date: 26 November 1997
The inherent difficulty in applying the Frobenius-Harper technique
(Frobenius, 1910; Harper, 1967) to any setting,
is proving that the roots of the polynomial p.g.f. are all real.
We give two theorems providing sufficient conditions.
This work supplies the technical proofs to Warren (1997).
generating function. real roots.
AMS Subject Classification (1991)
Secondary: 60C05, 60F05, 39A10
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Sydney Mathematics and Statistics