Results 1 to 10 of about 1,740,938 (274)
On transformations of formal power series
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Droste, Manfred, Zhang, Guo-Qiang
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On Gevrey orders of formal power series solutions to the third and fifth Painlevé equations near infinity [PDF]
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
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The tail of a quantum spin network [PDF]
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
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Ranking and formal power series
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
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The multidimensional generalization of Bauer's g-algorithm
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
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Puiseux series solutions of ODEs
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
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Gevrey multiscale expansions of singular solutions of PDEs with cubic nonlinearity
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
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A pedagogical remark on the main theorem of perturbative renormalization theory
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
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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
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