Book ChapterDOI
The calculus of virtual species and K-species
Yeong-Nan Yeh
- pp 351-369
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The article was published on 1986-01-01. It has received 42 citations till now. The article focuses on the topics: Wreath product & Isomorphism class.read more
Citations
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Two applications of analytic functors
TL;DR: The theory of analytic functors is applied to two topics related to theoretical computer science, one a new verification of the Lagrange-Good inversion formula using several ideas appearing in semantics of lambda calculi, especially the relation between categorical traces and fixpoint operators.
Journal ArticleDOI
Enumeration of trees by inversions
TL;DR: This work defines inversion polynomials for ordered, plane, and cyclic trees, and derives asymptotic formulae for those results for which they do not have a closed form.
Journal ArticleDOI
On asymmetric structures
TL;DR: The asymmetry indicator series can be applied to the systematic classification and enumeration of asymmetric F-structures when the species F is defined (explicitly or recursively) by combinatorial equations.
Journal ArticleDOI
Lagrange inversion for species
Ira M. Gessel,Gilbert Labelle +1 more
TL;DR: A simple combinatorial proof a Langrange inversion theorem for species and derive from it Labelle's Lagrange inversions theorem for cycle index series for symmetric functions is given.
Journal ArticleDOI
Combinatorial proofs of some limit formulas involving orthogonal polynomials
Jacques Labelle,Yeong-Nan Yeh +1 more
TL;DR: To prove combinatorially several limit formulas relating different families of hypergeometric orthogonal polynomials in Askey's chart classifying them, seven limit formulas are proved by “looking at surviving structures” when taking the limit.
References
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Book
Categories for the Working Mathematician
TL;DR: In this article, the authors present a table of abstractions for categories, including Axioms for Categories, Functors, Natural Transformations, and Adjoints for Preorders.
Book
Ordinary differential equations
TL;DR: In this article, the Poincare-Bendixson theory is used to explain the existence of linear differential equations and the use of Implicity Function and fixed point Theorems.
Journal ArticleDOI
Une théorie combinatoire des séries formelles
TL;DR: In this article, a combinatorial interpretation of formal power series is presented, based on the concept of species of structures, and a categorical approach is used to formulate it.