Results 1 to 10 of about 1,740,938 (274)

On transformations of formal power series

open access: yesInformation and Computation, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Droste, Manfred, Zhang, Guo-Qiang
openaire   +3 more sources

On Gevrey orders of formal power series solutions to the third and fifth Painlevé equations near infinity [PDF]

open access: yesOpuscula Mathematica, 2014
The question under consideration is Gevrey summability of formal power series solutions to the third and fifth Painlevé equations near infinity. We consider the fifth Painlevé equation in two cases: when \(\alpha\beta\gamma\delta \neq 0\) and when ...
Anastasia V. Parusnikova
doaj   +1 more source

The tail of a quantum spin network [PDF]

open access: yes, 2014
The tail of a sequence $\{P_n(q)\}_{n \in \mathbb{N}}$ of formal power series in $\mathbb{Z}[[q]]$ is the formal power series whose first $n$ coefficients agree up to a common sign with the first $n$ coefficients of $P_n$.
Hajij, Mustafa
core  

Ranking and formal power series

open access: yesTheoretical Computer Science, 1991
The ranking problem for a language \(L\subseteq A^*\) is the following: given w in L, compute the integer n such that w is the n-th element of L for the lexicographic order (u\(\leq v\) if either \(| u|
A. Bertoni, D. Bruschi, M. Goldwurm
openaire   +1 more source

The multidimensional generalization of Bauer's g-algorithm

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2013
The algorithm for the expansion of the given formal multiple power series into the corresponding multidimensional g-fraction with independent variables is constructed and the conditions of existence of such algorithm are established.
R. I. Dmytryshyn
doaj   +1 more source

Puiseux series solutions of ODEs

open access: yesElectronic Journal of Differential Equations, 2015
In this article, we will determine Puiseux series solutions of ordinary polynomial differential equations. We also study the binary complexity of computing such solutions.
Ali Ayad   +3 more
doaj  

Gevrey multiscale expansions of singular solutions of PDEs with cubic nonlinearity

open access: yesElectronic Journal of Differential Equations, 2018
We study a singularly perturbed PDE with cubic nonlinearity depending on a complex perturbation parameter $\epsilon$. This is a continuation of the precedent work [22] by the first author.
Alberto Lastra, Stephane Malek
doaj  

A pedagogical remark on the main theorem of perturbative renormalization theory

open access: yesNuclear Physics B, 2016
In this note, it is proven that, given two perturbative constructions of time-ordered products via the Bogoliubov-Epstein-Glaser recursion, both sets of coupling functions are related by a local formal power series, recursively determined by causality.
G. Popineau, R. Stora
doaj   +1 more source

On Drinfel'd associators

open access: yes, 2017
In 1986, in order to study the linear representations of the braid group $B\_n$coming from the monodromy of the Knizhnik-Zamolodchikov differential equations,Drinfel'd introduced a class of formal power series $\Phi$on noncommutative variables.
Duchamp, Gérard, Minh, Ngoc, Penson, K
core  

Formal power series [PDF]

open access: yesPacific Journal of Mathematics, 1963
Cashwell, E. D., Everett, C. J.
openaire   +3 more sources

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