Resultant and the Łojasiewicz exponent

J. Chądzyński; T. Krasiński

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

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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.

New examples of effective formulas for holomorphically contractible functions

Marek Jarnicki, Peter Pflug (1999)

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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.

Extension of polynomial mappings with a given Łojasiewicz exponent.

Karaś, Marek (2007)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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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...

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Diana Doličanin, Valery G. Romanovski (2005)

Kragujevac Journal of Mathematics

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Some classical expansions for Knop-Sahi and Macdonald polynomials.

Morse, Jennifer (1998)

Séminaire Lotharingien de Combinatoire [electronic only]

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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.

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Hatori, Osamu, Kasuga, Kazuhiro (2009)

Banach Journal of Mathematical Analysis [electronic only]

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Explicit plethystic formulas for Macdonald $(q, t)$ -Kostka coefficients.

Garsia, Adriano, Haiman, Mark, Tesler, Glenn (1999)

Séminaire Lotharingien de Combinatoire [electronic only]

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Weierstrass multiplicative points on a compact Riemann surface.

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Sibirskij Matematicheskij Zhurnal

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On Lempert functions in $ℂ^{2}$ .

Jarnicki, Witold (2001)

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

Zhangjian Hu (1996)

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On the theory of functional-differential inclusions of neutral type.

Bulgakov, A.I., Vasilyev, V.V. (2002)

Georgian Mathematical Journal

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The existence of bounded solutions for differential equations in Hilbert spaces

B. Przeradzki (1992)

Annales Polonici Mathematici

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The existence of bounded solutions for equations x' = A(t)x + r(x,t) is proved, where the linear part is exponentially dichotomic and the nonlinear term r satisfies some weak conditions.