St. Lawrence University
Mathematics, Computer Science and Statistics Department

HRUMC - 2001
Matt Hoek
"Absolutely Monotone Series"
 
ABSTRACT: Given a generating series p(z) = the sum of pnzn, as n ranges from 0 to infinity, the series of partial sums is P(z) = p(z)/[1 - z] = the sum of Pnzn, as n ranges from 0 to infinity. For a special class of generating series, we consider the question of when P(x)P(y)/P(xy) - sum of amnynxm satisfies amn is non-negative for
                           all non-negative m,n.

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Created 5/11/2001
P. Barkley