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'meromorphic extension'
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| Title of object: |
meromorphic extension |
| Canonical Name: |
MeromorphicExtension |
| Type: |
Definition |
| Created on: |
2006-07-29 08:29:20 |
| Modified on: |
2006-07-29 08:29:20 |
| Classification: |
msc:30D30 |
| Synonyms: |
meromorphic extension=meromorphic continuation |
Preamble:
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Content:
Let $A \subset B \subset \mathbb{C}$ and $f \colon A \to \mathbb{C}$ be analytic. A {\em meromorphic extension of $f$} is a meromorphic function $g \colon B \to \mathbb{C}$ such that $g|_A=f$.
Occasionally, an analytic function and its meromorphic extension are denoted using the same notation. A common example of this phenomenon is the Riemann zeta function. |
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