A note on the transcendence of infinite products

Jaroslav Hančl; Ondřej Kolouch; Simona Pulcerová; Jan Štěpnička

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Some remarks on $I$ -faster convergent infinite series

Ladislav Matejíčka (2009)

Mathematica Bohemica

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A structure of terms of $I$ -faster convergent series is studied in the paper. Necessary and sufficient conditions for the existence of $I$ -faster convergent series with different types of their terms are proved. Some consequences are discussed.

A geometric proof to Cantor's theorem and an irrationality measure for some Cantor's series.

Marques, Diego (2008)

Annales Mathematicae et Informaticae

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On faster convergent infinite series.

Holý, Dušan, Matejíčka, Ladislav, Pinda, Ľudovít (2008)

International Journal of Mathematics and Mathematical Sciences

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$ω$ –weighted holomorphic Besov spaces on the unit ball in $C^{n}$

A. V. Harutyunyan, Wolfgang Lusky (2011)

Commentationes Mathematicae Universitatis Carolinae

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The $ω$ -weighted Besov spaces of holomorphic functions on the unit ball $B^{n}$ in $C^{n}$ are introduced as follows. Given a function $ω$ of regular variation and $0 < p < \infty$ , a function $f$ holomorphic in $B^{n}$ is said to belong to the Besov space $B_{p} (ω)$ if ${∥ f ∥}_{B_{p} (ω)}^{p} = \int_{B^{n}} {(1 - | z |}^{2})^{p} {| D f (z) |}^{p} \frac{ω (1 - | z |)}{{(1 - | z |}^{2})^{n + 1}} d ν (z) < + \infty,$ where $d ν (z)$ is the volume measure on $B^{n}$ and $D$ stands for the fractional derivative of $f$ . The holomorphic Besov space is described in the terms of the corresponding $L_{p} (ω)$ space. Some projection theorems and theorems on existence of the inversions of these projections are proved....

Bounds on coefficients of reciprocals of formal power series with rapidly decreasing coefficients.

Berenhaut, Kenneth S., Allen, Edward E., Fraser, Sam J. (2006)

Discrete Dynamics in Nature and Society

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Families of rational numbers with predictable Engel product expansions.

Melham, R.S. (2009)

Journal of Integer Sequences [electronic only]

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Displaying similar documents to “A note on the transcendence of infinite products”

Some remarks on I -faster convergent infinite series

A geometric proof to Cantor's theorem and an irrationality measure for some Cantor's series.

On faster convergent infinite series.

ω –weighted holomorphic Besov spaces on the unit ball in C n

Bounds on coefficients of reciprocals of formal power series with rapidly decreasing coefficients.

Families of rational numbers with predictable Engel product expansions.

Some remarks on $I$ -faster convergent infinite series

$ω$ –weighted holomorphic Besov spaces on the unit ball in $C^{n}$