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It is well known that the Taylor series of every function in the Fock space $F_{α}^{p}$ converges in norm when 1 < p < ∞. It is also known that this is no longer true when p = 1. In this note we consider the case 0 < p < 1 and show that the Taylor series of functions in $F_{α}^{p}$ do not necessarily converge “in norm”.

Correction to a paper by Newman and Sheingorn.

Richard Wobst (1978)

Aequationes mathematicae

Correction to the paper “Continuous dependence of holomorphic functions on partly given boundary values”

Ivo Vrkoč (1979)

Czechoslovak Mathematical Journal

Correction to the paper "On the continuous dependence of local analytic solutions of a functional equation on given functions''

J. Matkowski (1972)

Annales Polonici Mathematici

Corrections to "Asymptotic behaviour of some infinite products involving prime numbers" (Acta Arith. 75 (1996), 339-350)

Hsien-Kuei Hwang (1999)

Acta Arithmetica

Corrigendum to "Continuous solutions of a homogeneous functional equation".

Morris Newman, Mark Sheingorn (1978)

Aequationes mathematicae

Corrigendum to “Nonlinear differential polynomials sharing a small function” [Arch. Math. 44 (2008), 41–56]

Abhijit Banerjee, Sonali Mukherjee (2008)

Archivum Mathematicum

Counterexamples on non- $α$ -normal functions with good integrability.

Aulaskari, Rauno, Makhmutov, Shamil, Rättyä, Jouni (2011)

The New York Journal of Mathematics [electronic only]

Counting rooted trees: the universal law $t (n) \sim C ρ^{- n} n^{- 3 / 2}$ .

Bell, Jason P., Burris, Stanley N., Yeats, Karen A. (2006)

The Electronic Journal of Combinatorics [electronic only]

Counting walks in a quadrant: a unified approach via boundary value problems

Kilian Raschel (2012)

Journal of the European Mathematical Society

The aim of this article is to introduce a unified method to obtain explicit integral representations of the trivariate generating function counting the walks with small steps which are confined to a quarter plane. For many models, this yields for the first time an explicit expression of the counting generating function. Moreover, the nature of the integrand of the integral formulations is shown to be directly dependent on the finiteness of a naturally attached group of birational transformations...

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Continuous dependence of holomorphic functions on partly given boundary values

Continuous solutions of a homogeneous functional equation.

Contribution à l'étude des fonctions méromorphes

Convergence and pre-images of limit points for coding trees for iterations of holomorphic maps.

Convergence and Summability of Gabor Expansions at the Nyquist Density.

Convergence des solutions formelles de certaines équations fonctionelles.

Convergence of Taylor series in Fock spaces