Statements (50)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
Holomorphic Functions
|
| gptkbp:application |
gptkb:Signal_Processing
gptkb:Physics Engineering Control System |
| gptkbp:definedIn |
Open Subset of Complex Plane
|
| gptkbp:example |
gptkb:Absolute_Value_Function
gptkb:Cosine_Function gptkb:Exponential_Function gptkb:Polynomial_Functions gptkb:Sine_Function Rational Functions (without poles) |
| gptkbp:field |
gptkb:Complex_Analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Analytic Functions
|
| gptkbp:property |
gptkb:Obey_Removable_Singularity_Theorem
gptkb:Obey_Schwarz_Lemma Have Taylor Series Expansion Infinitely Differentiable Locally Given by Convergent Power Series Obey Analytic Continuation Obey Argument Principle Obey Casorati-Weierstrass Theorem Obey Cauchy's Integral Formula Obey Hadamard's Three-Circle Theorem Obey Hurwitz's Theorem Obey Identity Theorem Obey Laurent Series Expansion Obey Liouville's Theorem Obey Maximum Modulus Principle Obey Maximum Principle Obey Mittag-Leffler's Theorem Obey Montel's Theorem Obey Morera's Theorem Obey Open Mapping Theorem Obey Picard's Theorem Obey Riemann Mapping Theorem Obey Rouche's Theorem Obey Runge's Theorem Obey Vitali's Convergence Theorem Obey Weierstrass Factorization Theorem Satisfy Cauchy-Riemann Equations Zeros are Isolated |
| gptkbp:relatedTo |
gptkb:Conformal_Mapping
gptkb:Entire_Functions gptkb:Harmonic_Functions gptkb:Meromorphic_Functions |
| gptkbp:studiedBy |
Mathematicians
|
| gptkbp:bfsParent |
gptkb:Antoni_Zygmund
|
| gptkbp:bfsLayer |
5
|