Differentiably Finite Power Series
TLDR
Some reciprocity theorems are proved which link two such series together and the basic properties of such power series of significance to combinatorics are surveyed.About:
This article is published in European Journal of Combinatorics.The article was published on 1980-06-01 and is currently open access. It has received 387 citations till now. The article focuses on the topics: Formal power series & Power series.read more
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Book
Combinatorics of Permutations
None Daiva Zadeike,Miklós Bóna +1 more
TL;DR: This book discusses Permutations as Genome Rearrangements, algorithms and permutations, and the proof of the Stanley-Wilf Conjecture.
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A holonomic systems approach to special functions identities
TL;DR: In this article, it was shown that any identity involving sums and integrals of products of holonomic functions can be verified in a finite number of steps. But this is partially substantiated by an algorithm that proves terminating hypergeometric series identities, and that is given both in English and in MAPLE.
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Combinatorics of permutations
TL;DR: This book discusses Permutations as Genome Rearrangements, algorithms and permutations, and the proof of the Stanley-Wilf Conjecture.
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Symmetric functions and P-Recursiveness
TL;DR: On montre comment des formules utiles peuvent etre obtenues a partir de fonctions symetriques pour beaucoup de problemes de denombrement, comme celui de compter des matrices d'entiers positifs avec des sommes de lignes and de colonnes donnees.
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GFUN: a Maple package for the manipulation of generating and holonomic functions in one variable
Bruno Salvy,Paul Zimmermann +1 more
TL;DR: The GFUN package is described which contains functions for manipulating sequences, linear recurrences, or differential equations and generating functions of various types and is intended both as an elementary introduction to the subject and as a reference manual for the package.
References
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Fast Algorithms for Manipulating Formal Power Series
TL;DR: This paper shows that the composition and reversion problems are equivalent (up to constant factors), and gives algorithms which require only order (n log n) ~/2 operations in many cases of practical importance.
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Asymptotic values for degrees associated with strips of young diagrams
Amitai Regev,Amitai Regev +1 more
TL;DR: In this paper, the authors give asymptotic values for the sums S ( β ) l ( n ) in the representations of the symmetric and the general linear groups, in combinatorics and in PI algebras.
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The number of baxter permutations
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