Statements (44)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:theorem
|
| gptkbp:appliesTo |
holomorphic functions
|
| gptkbp:description |
the behavior of entire functions
|
| gptkbp:established |
the late 19th century
|
| gptkbp:expansion |
meromorphic functions
|
| gptkbp:has_implications_for |
the value distribution theory
|
| gptkbp:hasPrograms |
theory of differential equations
|
| gptkbp:historical_significance |
the development of complex analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Picard's theorem
|
| gptkbp:influenced |
the study of complex variables
|
| gptkbp:is_a |
the study of transcendental functions
|
| gptkbp:is_a_document_that |
complex planes
|
| gptkbp:is_a_platform_for |
function theory
|
| gptkbp:is_a_subject_of |
mathematics
mathematical literature the field of algebraic geometry numerous mathematical proofs the field of complex dynamics |
| gptkbp:is_a_symbol_of |
examples from complex function theory
|
| gptkbp:is_essential_for |
the study of meromorphic functions
the behavior of complex functions at infinity the limits of entire functions understanding complex analysis |
| gptkbp:is_evaluated_by |
various mathematicians
|
| gptkbp:is_featured_in |
the Little Picard Theorem
|
| gptkbp:is_known_for |
higher dimensions
|
| gptkbp:is_part_of |
the theory of complex variables
|
| gptkbp:is_referenced_in |
research articles
|
| gptkbp:is_studied_in |
mathematical conferences
|
| gptkbp:is_used_in |
academic papers
mathematical analysis other theorems in complex analysis textbooks on complex analysis |
| gptkbp:isConnectedTo |
Riemann surfaces
|
| gptkbp:previousName |
gptkb:Émile_Picard
the Great Picard Theorem |
| gptkbp:related_to |
the concept of normal families
Liouville's_theorem |
| gptkbp:state |
an entire function takes every complex value, with at most one exception, infinitely often
|
| gptkbp:suitableFor |
the study of analytic functions
|
| gptkbp:taught |
advanced mathematics courses
|
| gptkbp:was_a_result_of |
theoretical physics
complex analysis the concept of essential singularities |