A class of gap series with small growth in the unit disc.

Sons, L.R.; Ye, Zhuan

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Displaying similar documents to “A class of gap series with small growth in the unit disc.”

Alexander’s projective capacity for polydisks and ellipsoids in $ℂ^{N}$

Mieczysław Jędrzejowski (1995)

Annales Polonici Mathematici

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Alexander’s projective capacity for the polydisk and the ellipsoid in $ℂ^{N}$ is computed. Sharper versions of two inequalities concerning this capacity and some other capacities in $ℂ^{N}$ are given. A sequence of orthogonal polynomials with respect to an appropriately defined measure supported on a compact subset K in $ℂ^{N}$ is proved to have an asymptotic behaviour in $ℂ^{N}$ similar to that of the Siciak homogeneous extremal function associated with K.

Some sufficient conditions for analytic functions to belong to $𝒬_{K, 0} (p, q)$ space.

Meng, Xiaoge (2008)

Abstract and Applied Analysis

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Generalized order and best approximation of entire function in $L^{p}$ -norm.

Harfaoui, Mohammed (2010)

International Journal of Mathematics and Mathematical Sciences

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The maximum term of a power series.

Srivastava, G.S., Juneja, O.P. (1986)

International Journal of Mathematics and Mathematical Sciences

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Fixed points of the derivative and $k$ -th power of solutions of complex linear differential equations in the unit disc.

Zhang, Guowei, Chen, Ang (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Unique difference bases of $ℤ$ .

Tang, Chi-Wu, Tang, Min, Wu, Lei (2011)

Journal of Integer Sequences [electronic only]

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Generalized dimension compression under mappings of exponentially integrable distortion

Aleksandra Zapadinskaya (2011)

Open Mathematics

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We prove a dimension compression estimate for homeomorphic mappings of exponentially integrable distortion via a modulus of continuity result by D. Herron and P. Koskela [Mappings of finite distortion: gauge dimension of generalized quasicircles, Illinois J. Math., 2003, 47(4), 1243–1259]. The essential sharpness of our estimate is demonstrated by an example.