Generalized continued fraction
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:Mathematical_analysis
Approximating functions Solving equations |
| gptkbp:describes |
Numbers as expressions with arbitrary numerators and denominators
|
| gptkbp:field |
gptkb:Mathematics
|
| gptkbp:generalizes |
Simple continued fraction
|
| gptkbp:hasProperty |
Infinite or finite length
May diverge or converge |
| https://www.w3.org/2000/01/rdf-schema#label |
Generalized continued fraction
|
| gptkbp:notation |
a_0 + b_1/(a_1 + b_2/(a_2 + ... ))
|
| gptkbp:relatedTo |
gptkb:Convergents
gptkb:Padé_approximant gptkb:Hypergeometric_function |
| gptkbp:represents |
Rational numbers
Transcendental numbers Irrational numbers |
| gptkbp:studiedBy |
gptkb:Leonhard_Euler
|
| gptkbp:subclassOf |
Continued fraction
|
| gptkbp:used_in |
gptkb:Number_theory
Analysis |
| gptkbp:bfsParent |
gptkb:Continued_Fractions
|
| gptkbp:bfsLayer |
7
|