Constructible differentially finite algebraic series in several variables
نویسندگان
چکیده
منابع مشابه
Constructible Differentially Finite Algebraic Series in Several Variables
We extend the concept of CDF-series to the context of several variables, and show that the series solution of first order differential equations y′ = x(t, y) and functional equation y = x(t, y), with x CDF in two variables, are CDF-series. We also give many effective closure properties for CDF-series in several variables. 1. CDF-series in one variable We present in this paper, new properties an...
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0. Preface. This article is a survey of certain aspects of the theory of multiple Fourier and trigonometric series. I t is by no means meant to be a complete survey; for example, it is practically disjoint with the material covered on the subject in Zygmund's book [38, Chapter 17.]. There are eight sections to this survey. §1 is the introduction. §2, §3, and §4 are expository in the sense that ...
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Generalizing a classical one-variable theorem of Bohr, we show that if an n-variable power series has modulus less than 1 in the unit polydisc, then the sum of the moduli of the terms is less than 1 in the polydisc of radius 1/(3 √ n ). How large can the sum of the moduli of the terms of a convergent power series be? Harald Bohr addressed this question in 1914 with the following remarkable resu...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 1995
ISSN: 0304-3975
DOI: 10.1016/0304-3975(94)00297-v