Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:polynomial_sequence
|
| gptkbp:defines |
A sequence of polynomials {P_n(x)} such that d/dx P_n(x) = n P_{n-1}(x)
|
| gptkbp:example |
gptkb:Hermite_polynomials
gptkb:Euler_polynomials gptkb:Bernoulli_polynomials |
| gptkbp:field |
gptkb:analysis
gptkb:algebra gptkb:mathematics |
| gptkbp:hasGeneratingFunction |
A(x) e^{xt} for some formal power series A(x)
|
| gptkbp:namedAfter |
gptkb:Paul_Émile_Appell
|
| gptkbp:property |
differentiation property
|
| gptkbp:relatedTo |
gptkb:Sheffer_sequence
umbral calculus |
| gptkbp:bfsParent |
gptkb:Sheffer_sequence
|
| gptkbp:bfsLayer |
8
|
| https://www.w3.org/2000/01/rdf-schema#label |
Appell sequence
|