Solving algebraic equations by power series
نویسندگان
چکیده
منابع مشابه
Solving algebraic equations in terms of A-hypergeometric series
The roots of the general equation of degree n satisfy an A-hypergeometric system of diierential equations in the sense of Gel'fand, Kapranov and Zelevinsky. We construct the n distinct A-hypergeometric series solutions for each of the 2 n?1 triangulations of the Newton segment. This works over any eld whose characteristic is relatively prime to the lengths of the segments in the triangulation. ...
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In this paper, we consider nonlinear algebraic ordinary differential equations (AODEs) and study their formal power series solutions. Our method is inherited from Lemma 2.2 in [J. Denef and L. Lipshitz, Power series solutions of algebraic differential equations, Mathematische Annalen, 267(1984), 213-238] for expressing high order derivatives of a differential polynomial via their lower order on...
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In this paper a new method for solving fuzzy differential equation with fractional order is considered. The fuzzy solution is construct by power series in the Caputo derivatives sense. To illustrate the reliability of method some examples are provided. In this paper a new method for solving fuzzy differential equation with fractional order is considered. The fuzzy solution is construct by power...
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ژورنال
عنوان ژورنال: Časopis pro pěstování matematiky
سال: 1956
ISSN: 0528-2195
DOI: 10.21136/cpm.1956.117178