analytic function
C24991
concept
An analytic function is a complex-valued function that is locally given by a convergent power series, meaning it is differentiable at every point in its domain and in a neighborhood around each point.
Observed surface forms (13)
- complex analytic function ×7
- automorphic form ×2
- entire function ×2
- Blaschke product ×1
- bounded holomorphic function ×1
- complex-analytic function ×1
- complex-analytic functions ×1
- extremal function ×1
- holomorphic function ×1
- object of complex analysis ×1
- object of geometric function theory ×1
- rational inner function ×1
- univalent function ×1
Instances (16)
- Hasse–Weil zeta function
- Dirichlet L-functions via concept surface "complex analytic function"
-
L-functions
via concept surface "complex analytic function"
surface form: L-function
- Gauss hypergeometric function
- Jacobi theta functions via concept surface "complex-analytic functions"
- modular j-invariant via concept surface "complex analytic function"
- Riemann xi function via concept surface "entire function"
-
Blaschke products
surface form: Blaschke product
- Selberg zeta function
- Barnes G-function via concept surface "entire function"
- Siegel modular form via concept surface "complex analytic function"
- Harish-Chandra c-function
- Koebe function via concept surface "holomorphic function"
- Artin L-functions via concept surface "complex analytic function"
- Eisenstein series via concept surface "complex analytic function"
- Hurwitz zeta function via concept surface "complex analytic function"