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Complex Variables and Elliptic Equations
An International Journal
Volume 68, 2023 - Issue 12
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Research Article

The pointwise limit of holomorphic functions

Steven G. KrantzDepartment of Mathematics, Washington University in St. Louis, St. Louis, MO, USACorrespondence[email protected]
Pages 2144-2147 | Received 23 Feb 2022, Accepted 20 Jul 2022, Published online: 30 Aug 2022
 
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ABSTRACT

We study the pointwise limit of a sequence of holomorphic functions, both of one and several complex variables. We analyze the set on which the limit is holomorphic, and the set on which it is not.

AMS SUBJECT CLASSIFICATIONS:

Acknowledgements

We acknowledge helpful conversations with Hypatia K. and GusBoy K.

Disclosure statement

No potential conflict of interest was reported by the author(s).

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