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A generating functionology approach to a problem of Wilf
Journal article   Open access   Peer reviewed

A generating functionology approach to a problem of Wilf

Paweł Hitczenko, Cecil Rousseau and Carla D. Savage
Journal of computational and applied mathematics, v 142(1), pp 107-114
2002
url
https://doi.org/10.1016/s0377-0427(01)00462-9View
Published, Version of Record (VoR)Open Access (Publisher-Specific) Open

Abstract

Wilf posed the following problem: determine asymptotically as n→∞ the probability that a randomly chosen part size in a randomly chosen composition of n has multiplicity m. One solution of this problem has been given by two of the authors 〈http://www.csc.ncsu.edu/faculty/savage/〉. In this paper, we study this question using the techniques of generating functions and singularity analysis.

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Collaboration types
Domestic collaboration
Web of Science research areas
Mathematics, Applied
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