86 citations · 145 across the 4 of their papers we have counts for
4 papers
The Fermat cubic, elliptic functions, continued fractions, and a combinatorial excursion
Eric van Fossen Conrad, Philippe Flajolet
Elliptic functions considered by Dixon in the nineteenth century and related to Fermat's cubic, , lead to a new set of continued fraction expansions with sextic numerato…
Analytic urns
Philippe Flajolet, Joaquim Gabarro, Helmut Pekari
This article describes a purely analytic approach to urn models of the generalized or extended Pólya-Eggenberger type, in the case of two types of balls and constant ``balance,'' t…
Singularity analysis, Hadamard products, and tree recurrences
James Allen Fill, Philippe Flajolet, Nevin Kapur
We present a toolbox for extracting asymptotic information on the coefficients of combinatorial generating functions. This toolbox notably includes a treatment of the effect of Had…
Singular combinatorics
Philippe Flajolet
Combinatorial enumeration leads to counting generating functions presenting a wide variety of analytic types. Properties of generating functions at singularities encode valuable in…