Results 31 to 40 of about 228,694 (166)
On a q—Analog of a Singularly Perturbed Problem of Irregular Type with Two Complex Time Variables
The analytic solutions of a family of singularly perturbed q-difference-differential equations in the complex domain are constructed and studied from an asymptotic point of view with respect to the perturbation parameter.
Alberto Lastra, Stéphane Malek
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On the formal power series algebras generated by a vector space and a linear functional [PDF]
Let R be a vector space ( on C) and ϕ be an element of R∗ (the dual space of R), the product r · s = ϕ(r)s converts R into an associative algebra that we denote it by Rϕ.
A. R. Khoddami
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On Inner Expansions for a Singularly Perturbed Cauchy Problem with Confluent Fuchsian Singularities
A nonlinear singularly perturbed Cauchy problem with confluent Fuchsian singularities is examined. This problem involves coefficients with polynomial dependence in time.
Stephane Malek
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On the fractional Allee logistic equation in the Caputo sense
In the framework of population models, logistic growth and fractional logistic growth has been analyzed. In some situations the so-called Allee effect gives more accurate approximation.
I. Area, Juan J. Nieto
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ALGEBRAIC INDEPENDENCE OF CERTAIN FORMAL POWER SERIES (I) [PDF]
We give a proof of the generalisation of Mendes-France and Van der Poorten's recent result over an arbitrary field of positive characteristic and then by extending a result of Carlitz, we shall introduce a class of algebraically independent series.
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Recent results on iterative roots
This is a rough survey of some results on iterative roots (fractional iterates) published recently. Also some historical information to clear the connection to previous results has been given.
Jarczyk Witold
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In this paper we consider the multidimensional $g$-fraction with nonequivalent variables which is the generalization of the continued $g$-fraction. The correspondence between the formal multiple power series and the above mentioned fraction is studied.
R. I. Dmytryshyn
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ALGEBRAIC INDEPENENCE OF CERTAIN FORMAL POWER SERIES (II) [PDF]
We shall extend the results of [5] and prove that if f = Z o a x ? Z [[X]] is algebraic over Q (x), where a = 1, ƒ 1 and if ? , ? ,..., ? are p-adic integers, then 1 ? , ? ,..., ?
doaj
Suppose pn be sequence of positive reals. By Hwpn, we represent the space of all formal power series ∑n=0∞anzn equipped with ∑n=0∞λan/n+1pn0. Various topological and geometric behavior of Hwpn and the prequasi ideal constructs by s-numbers and Hwpn have ...
Awad A. Bakery, M. H. El Dewaik
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In this article we will describe the \Maple\ implementation of an algorithm presented in~\cite{Koe92}--\cite{Koeortho} which computes an {\em exact\/} formal power series (FPS) of a given function. This procedure will enable the user to reproduce most of the results of the extensive bibliography on series~\cite{Han}.
Gruntz, Dominik, Koepf, Wolfram
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