The zeros of flat Gaussian random holomorphic functions on Cn, and hole probability [PDF]
, 2007 Scott Zrebiec
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Weighted Vector-Valued Holomorphic Functions on Banach Spaces
Abstract and Applied Analysis, 2013 We study the weighted Banach spaces of vector-valued holomorphic functions defined on an open and connected subset of a Banach space. We use linearization results on these spaces to get conditions which ensure that a function f defined in a subset A of ...
Enrique Jordá
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Removability results for subharmonic functions, for separately subharmonic functions, for harmonic functions, for separately harmonic functions and for holomorphic functions, a survey [PDF]
, 2016 Juhani Riihentaus
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On the order of holomorphic and \(c\)-holomorphic functions
, 2007 Summary: In the first part of this paper, we prove that the Łojasiewicz exponent of a non-constant holomorphic germ \(f:(\mathbb C^m,0)\to (\mathbb C,0)\) is a good exponent for \(f\) coinciding with the order of vanishing of \(f\) at zero and the degree at zero of its cycle of zeros \(Z_f\).
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The Zeros of Holomorphic Functions in Strictly Pseudoconvex Domains [PDF]
, 1975 Lawrence Gruman
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ON THE HYPERGEOMETRIC FUNCTION AND FAMILIES OF HOLOMORPHIC FUNCTIONS
Revue Roumaine Mathematiques Pures AppliqueesIn this work, we examine one two-parameter family of sets consisting of functions holomorphic in the unit disk, previously investigated by several mathematicians. We focus on the set-theoretic properties of this family, identify the general form of filtrations within it, and discover that it is not a lattice.
Elin, Mark, Jacobzon, Fiana
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Holomorphic functions withpositive real part on the unit ball of $C^{n}$ [PDF]
, 1990 John N. McDonald
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A Normality Criterion for Sharing a Holomorphic Function
AxiomsIn this paper, we scrutinize a collection of meromorphic functions known as normal families, prove the theorem that normal families share a holomorphic function, and present several illustrative counterexamples.
Sheng Wang, Xiaojun Huang
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Almost periodic divisors, holomorphic functions, and holomorphic mappings
Bulletin des Sciences Mathématiques, 2003 We prove that to each almost periodic (in the sense of distributions) divisor in a tube one can assign a first Chern class of a special line bundle over Bohr's compact set generated by the divisor such that the trivial cohomology class represents divisors of all almost periodic holomorphic functions on a tube.
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A characterization of maximal ideals in the Fréchet algebras of holomorphic functions $F^p$ $(1 [PDF]
, 2018 Romeo Meštrović
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