Diagonal series of rational functions

Sławomir Cynk; Piotr Tworzewski

Displaying similar documents to “Diagonal series of rational functions”

Diagonal series of rational functions (several variables)

Sławomir Cynk, Piotr Tworzewski (1994)

Annales Polonici Mathematici

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We give representations of Nash functions in a neighbourhood of a polydisc (torus) in $ℂ^{m}$ as diagonal series of rational functions in a neighbourhood of a polydisc (torus) in $ℂ^{m + 1}$ .

Linear isometries of finite codimensions on Banach algebras of holomorphic functions.

Hatori, Osamu, Kasuga, Kazuhiro (2009)

Banach Journal of Mathematical Analysis [electronic only]

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Estimates for the integral means of holomorphic functions on bounded domains in $ℂ^{n}$

Zhangjian Hu (1996)

Colloquium Mathematicae

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On branches at infinity of a pencil of polynomials in two complex variables

T. Krasiński (1991)

Annales Polonici Mathematici

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Let F ∈ ℂ[x,y]. Some theorems on the dependence of branches at infinity of the pencil of polynomials f(x,y) - λ, λ ∈ ℂ, on the parameter λ are given.

The growth of regular functions on algebraic sets

A. Strzeboński (1991)

Annales Polonici Mathematici

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We are concerned with the set of all growth exponents of regular functions on an algebraic subset V of $ℂ^{n}$ . We show that its elements form an increasing sequence of rational numbers and we study the dependence of its structure on the geometric properties of V.

On the existence of universal rational structures for groups.

Grigorenko, O.V., Roman'kov, V.A. (2007)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

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Rational interpolation: analytical solution.

Cherednichenko, V.G. (2002)

Sibirskij Matematicheskij Zhurnal

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A note on pluripolar extensions of univalent functions.

Sičiak, Józef (2006)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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New examples of effective formulas for holomorphically contractible functions

Marek Jarnicki, Peter Pflug (1999)

Studia Mathematica

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Let $G \subset ℂ^{n}$ and $B \subset ℂ^{m}$ be domains and let Φ:G → B be a surjective holomorphic mapping. We characterize some cases in which invariant functions and pseudometrics on G can be effectively expressed in terms of the corresponding functions and pseudometrics on B.

Collective Operations on Number-Membered Sets

Artur Korniłowicz (2009)

Formalized Mathematics

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The article starts with definitions of sets of opposite and inverse numbers of a given number membered set. Next, collective addition, subtraction, multiplication and division of two sets are defined. Complex numbers cases and extended real numbers ones are introduced separately and unified for reals. Shortcuts for singletons cases are also defined.

On generalized differential equations in Banach spaces

Tadeusz Poreda

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CONTENTSIntroduction . . . . . . . . 5I. Fundamental problems for generalized differential equations at nonsingular points§1. Introduction . . . . . . . . 6§2. Cauchy problem at nonsingular points for generalized differential equations of the first order . . . . . . . . 6§3. Dependence of solution on parameters and initial conditions . . . . . . . . 8II. Total solutions of generalized linear differential equations§1. Introduction . . . . . . . . 11§2. Form of solutions of generalized...

On a differential inequality II.

Oros, Georgia Irina (2002)

General Mathematics

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On Lempert functions in $ℂ^{2}$ .

Jarnicki, Witold (2001)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Corrigendum to the paper "Constants for lower bounds for linear forms in the logarithms of algebraic numbers II. The homogeneous rational case" (Acta Arith. 55 (1990), 15-22)

Josef Blass, A. M. W. Glass, David K. Manski, David B. Meronk (1993)

Acta Arithmetica

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