Functions of a complex variable Basic notions Concept
Entire function
Summary
An entire function is a function that is holomorphic on the whole complex plane, see the definition. Polynomials and the exponential function are entire.
Where this leads
17 pages build on this one.
- Dirichlet L-function
- Weierstrass zeta and sigma functions
- Benedicks' theorem
- Bargmann transform
- Fredholm determinant
- Hadamard's inequality in Fredholm theory
- Poincaré's functional equation
- Sullivan's no wandering domains theorem
- Classification of Fatou components
- Complex dynamics
- Nevanlinna theory in several variables
- Mittag-Leffler function
- Uncertainty principle in Fourier analysis
- Eremenko's conjecture
- Faddeeva function
- Barnes G-function
- Nevanlinna parametrization of solutions
Further reading
- Web https://en.wikipedia.org/wiki/Entire_function, lead section
About this page
| Tag | 0G4F0XB9X2 |
|---|---|
| URI | m2://0G4F0XB9X2 |
| Aliases | integral-function |
| Kind | concept |
| Writing | W1 stated |
| MSC | 30D20 |
| Specializes | Holomorphic function |
| 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)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Definitions
Used by
- Dirichlet L-function
- Weierstrass zeta and sigma functions
- Bargmann transform
- Fredholm determinant
- Hadamard's inequality in Fredholm theory
- Poincaré's functional equation
- Sullivan's no wandering domains theorem
- Complex dynamics
- Nevanlinna theory in several variables
- Mittag-Leffler function
- Uncertainty principle in Fourier analysis
- Eremenko's conjecture
- Faddeeva function
- Barnes G-function
- Nevanlinna parametrization of solutions