On composition of formal power series.
Gan, Xiao-Xiong, Knox, Nathaniel (2002)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Expansion for the superheating field in a semi-infinite film in the weak- limit”
On composition of formal power series.
Asymptotic expansions and positivity of coefficients for large powers of analytic functions.
De Angelis, Valerio (2003)
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Derangements and asymptotics of the Laplace transforms of large powers of a polynomial.
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A note on formal power series
Xiao-Xiong Gan, Dariusz Bugajewski (2010)
Commentationes Mathematicae Universitatis Carolinae
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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 is convex and balanced which implies that the subset consisting of formal power series which can be composed by a formal power series possesses such properties. We also provide a necessary and sufficient condition for the superposition operator to map into itself or to...
Solving a bilocal linear singularly perturbed problem.
Jaradat, Mihaela (2004)
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One of the Possible Formal Desribtions of Deducubility
Branislav R. Boričić (1983)
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Further remarks on formal power series
Marcin Borkowski, Piotr Maćkowiak (2012)
Commentationes Mathematicae Universitatis Carolinae
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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. Then, we consider the behavior of such series and their (formal) derivatives at the boundary of the convergence circle, obtaining in particular a theorem of Bugajewski and Gan concerning the structure of the set of points where a formal power series is convergent with all its derivatives. ...
Puiseux expansions
Bernard M. Dwork (1982-1983)
Groupe de travail d'analyse ultramétrique
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