The pointwise limit of holomorphic functions

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.

KEYWORDS:

• Holomorphic function
• pointwise limits

AMS SUBJECT CLASSIFICATIONS:

• 30E10
• 30E15
• 32A10

Acknowledgements

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

Disclosure statement

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