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- W4311726470 abstract "Functional equations with one catalytic appear in several combinatorial applications, most notably in the enumeration of lattice paths and in the enumeration of planar maps. The main purpose of this paper is to show that under certain positivity assumptions the dominant singularity of the solutions have a universal behavior. We have to distinguish between linear catalytic equations, where a dominating square root singularity appears, and non-linear catalytic equations, where we - usually - have a singularity of type 3/2." @default.
- W4311726470 created "2022-12-28" @default.
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- W4311726470 date "2022-12-15" @default.
- W4311726470 modified "2023-09-30" @default.
- W4311726470 title "Universal asymptotic properties of positive functional equations with one catalytic variable" @default.
- W4311726470 doi "https://doi.org/10.48550/arxiv.2212.07741" @default.
- W4311726470 hasPublicationYear "2022" @default.
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