Results 11 to 20 of about 210,142 (295)

On composition of formal power series [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
Given a formal power series g(x)=b0+b1x+b2x2+⋯ and a nonunit f(x)=a1x+a2x2+⋯, it is well known that the composition of g with f, g(f(x)), is a formal power series.
Xiao-Xiong Gan, Nathaniel Knox
doaj   +2 more sources

Convergence of a formal power series and Gelfond-Leont’ev derivatives [PDF]

open access: yesМатематичні Студії, 2011
Given a formal power series, we establish conditions on the formal power seriess under which the series represents a function analytic in the disk {z:|z|≤R},R∈(0,+∞]. We also give a survey of well-know results for the case R=+∞.
S. I. Fedynyak, M. M. Sheremeta
doaj   +1 more source

Skew and infinitary formal power series

open access: yesTheoretical Computer Science, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Manfred Droste, Dietrich Kuske
openaire   +3 more sources

Further remarks on formal power series [PDF]

open access: yes, 2012
summary:In this paper, we present a considerable simplification of the proof of a theorem by Gan and Knox, stating a sufficient and necessary condition for existence of a composition of two formal power series.
Borkowski, Marcin, Maćkowiak, Piotr
core   +1 more source

A note on formal power series [PDF]

open access: yes, 2010
summary:In this note we investigate a relationship between the boundary behavior of power series and the composition of formal power series. In particular, we prove that the composition domain of a formal power series $g$ is convex and balanced which ...
Gan, Xiao-Xiong, Bugajewski, Dariusz
core   +1 more source

New combinatorial computational methods arising from pseudo-singletons [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2008
Since singletons are the connected sets, the species $X$ of singletons can be considered as the combinatorial logarithm of the species $E(X)$ of finite sets.
Gilbert Labelle
doaj   +1 more source

Balanced triangulations on few vertices and an implementation of cross-flips [PDF]

open access: yes, 2019
A d-dimensional simplicial complex is balanced if the underlying graph is (d + 1)-colorable. We present an implementation of cross-flips, a set of local moves introduced by Izmestiev, Klee and Novik which connect any two PL-homeomorphic balanced ...
Venturello L.
core   +1 more source

On the Cumulants of the First Passage Time of the Inhomogeneous Geometric Brownian Motion

open access: yesMathematics, 2021
We consider the problem of the first passage time T of an inhomogeneous geometric Brownian motion through a constant threshold, for which only limited results are available in the literature.
Elvira Di Nardo, Giuseppe D’Onofrio
doaj   +1 more source

Equidistribution Modulo 1

open access: yesJournal of Mathematics, 2021
The generalisation of questions of the classic arithmetic has long been of interest. One line of questioning, introduced by Car in 1995, inspired by the equidistribution of the sequence nαn∈N where ...
Wiem Gadri
doaj   +1 more source

On formal power series over topological algebras

open access: yesExtracta Mathematicae, 2022
We present a general survey on formal power series over topological algebras, along with some perspectives which are not easily found in the literature.
Martin Weigt, I. Zarakas
doaj  

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