A generatingfunctionology approach to a problem of Wilf

Details A generatingfunctionology approach to a problem of Wilf A generatingfunctionology approach to a problem of Wilf

2001-10-17

arxiv.org/abs/math/0110181v1

Mathematics

Combinatorics

12 pages

Scientific paper

Wilf posed the following problem: determine asymptotically as $n\to\infty$
the probability that a randomly chosen part size in a randomly chosen
composition of n has multiplicity m. One solution of this problem was given by
Hitczenko and Savage. In this paper, we study this question using the
techniques of generating functions and singularity analysis.

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