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Weighted Vector-Valued Holomorphic Functions on Banach Spaces

open access: yesAbstract 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
doaj   +1 more source

A Normality Criterion for Sharing a Holomorphic Function

open access: yesAxioms
In 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
doaj   +1 more source

Polynomial Interpretation of Holomorphic Functions in $\c$ and $\c^n$ [PDF]

open access: bronze, 1992
Thomas Bloom   +3 more
openalex   +1 more source

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