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On the convergence of generalized power series solutions of q-difference equations [PDF]

Aequationes Mathematicae, 2021
A sufficient condition for the convergence of a generalized formal power series solution to an algebraic q-difference equation is provided. The main result leans on a geometric property related to the semi-group of (complex) power exponents of such a ...
Alberto Lastra, Lastra Alberto
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ON A POWER SERIES GENERALIZATION OF ETOL LANGUAGES

Fundamenta Informaticae, 1996
We study ETOL power series introduced by Kuich. We show that the ETOL power series coincide with the linear extended Lindenmayerian series introduced by Honkala.
Juha Honkala, Werner Kuich
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Power series generalized nonlinear models

Computational Statistics & Data Analysis, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gauss M. Cordeiro, Marinho Gomes Andrade, Mário de Castro   +2 more
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The ascending chain condition for principal left or right ideals of skew generalized power series rings

Journal of Algebra, 2009
Let R be a ring, S a monoid and ω:S→End(R) a monoid homomorphism. In this paper we prove that if the monoid S is strictly totally ordered or S is commutative torsion-free cancellative semisubtotally ordered, then the ring R〚S,ω〛 of skew generalized power
Ryszard Mazurek, Michał Ziembowski
exaly   +2 more sources

Fields of generalized power series

Archiv der Mathematik, 1990
Let R be a commutative ring with unit element, let S be a commutative (multiplicatively written) semigroup with unit element, endowed with a compatible (partial) order relation \(\leq\). Let A be the set of all mappings \(f:\quad S\to R\) with support \(\sup p(f)=\{s\in S| \quad f(s)\neq 0\}\) which is artinian (it contains no infinite descending chain)
Elliott, G. A., Ribenboim, P.
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Operations on Generalized Power Series

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1965
AbstractThe paper gives general formulae for various important operations on generalized power series of one variable (1.1). They appear often in applications (e.g. perturbation method, solution of algebraic equations). Particular attention is paid to composite operations, such as substitution, reversion and deparametrization.
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General Integrability Theorems for Power Series

Journal of the London Mathematical Society, 1957
Theorems of \textit{P. Heywood} [J. Lond. Math. Soc. 30, 302--310 (1955; Zbl 0064.06201)] are generalized in a way, which is exemplified by the following Theorem 1. Let \(F(x) = \sum_0^\infty c_n x^n\) \((0\le x < 1; c_n > 0)\), and let \[ \Psi(t) = \int_{1-1/t}^1 \psi(s)\,ds \] with a function \(\psi(s)\in L(0,1)\), non-negative and non-decreasing in \
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Power Generation in Series Mode

IEEE Industry Applications Magazine, 2010
This article presents the development and implementation of a 20-kW permanent magnet (PM) brushless dc (BLDC) machine starter/generator system for a series-parallel 2 x 2 hybrid electric vehicle.
Iqbal Husain, S. Hasan, Robert Veillette, Joan Carlotta   +3 more
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ON GENERALIZED DISTRIBUTIONS: THE POWER OF GENERALISING AND THE POWER SERIES CONNECTION

Far East Journal of Theoretical Statistics, 2019
Summary: In this paper, we consider generalised distributions in the context of modelling dispersion but with focus on probability generating function (pgf) which is an important tool in studying statistical properties of a discrete distribution. The aim of this paper is twofold, one is to demonstrate the power of generalising in determination of pgf ...
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On Formal Power Series Generated by Lindenmayer Systems

J. Autom. Lang. Comb., 2000
To study power series generated by Lindenmayer systems we define L algebraic systems and series over arbitrary commutative semirings. We establish closure and fixed point properties of L algebraic series. We show how the framework of L algebraic series can be used to define D0L, 0L, E0L, DT0L, T0L and ET0L power series.
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