Results 11 to 20 of about 210,142 (295)
On composition of formal power series [PDF]
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
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Convergence of a formal power series and Gelfond-Leont’ev derivatives [PDF]
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
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Skew and infinitary formal power series
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Manfred Droste, Dietrich Kuske
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Further remarks on formal power series [PDF]
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
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A note on formal power series [PDF]
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
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New combinatorial computational methods arising from pseudo-singletons [PDF]
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
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Balanced triangulations on few vertices and an implementation of cross-flips [PDF]
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.
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On the Cumulants of the First Passage Time of the Inhomogeneous Geometric Brownian Motion
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
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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
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On formal power series over topological algebras
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
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