Functions of a complex variable Basic notions Concept
Meromorphic function
Summary
A meromorphic function on an open set is a function that is holomorphic on the set except at isolated points, which are poles. See the definition. Quotients of holomorphic functions are meromorphic.
Where this leads
21 pages build on this one.
- Dirichlet L-function
- Riemann zeta function as a series
- Abel–Jacobi theorem
- Poisson–Jensen formula
- Malmquist's theorem
- Nevanlinna theory of difference equations
- Hilbert–Pólya conjecture
- Painlevé property
- j-invariant
- Functional equation of the Riemann zeta function
- Digamma function
- Lindelöf hypothesis
- Ordinary point and singular point
- Riemann zeta function
- Abelian differential
- Riemann hypothesis
- Montessus de Ballore's theorem
- Baker–Gammel–Wills conjecture
- Hurwitz zeta function
- Weierstrass–Enneper parameterization
- Asymptotic expansion from poles of a Mellin transform
Further reading
- Web https://en.wikipedia.org/wiki/Meromorphic_function, lead section
About this page
| Tag | 0ZZ7ZYDR8W |
|---|---|
| URI | m2://0ZZ7ZYDR8W |
| Aliases | meromorphic |
| Kind | concept |
| Writing | W1 stated |
| MSC | 30D30 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
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What links here
Special cases
Definitions
Used by
- Dirichlet L-function
- Abel–Jacobi theorem
- Poisson–Jensen formula
- Malmquist's theorem
- Nevanlinna theory of difference equations
- Painlevé property
- j-invariant
- Functional equation of the Riemann zeta function
- Digamma function
- Ordinary point and singular point
- Riemann zeta function
- Abelian differential
- Montessus de Ballore's theorem
- Baker–Gammel–Wills conjecture
- Hurwitz zeta function
- Weierstrass–Enneper parameterization
- Asymptotic expansion from poles of a Mellin transform