Name
Abstract | ||
|---|---|---|
We use the properties of Hermite and Kampe de Feriet polynomials to get closed forms for the repeated derivatives of functions whose argument is a quadratic or higher-order polynomial. These results are extended to product of functions of the above argument, thus giving rise to expressions which can formally be interpreted as generalizations of the familiar Leibniz rule. Finally, examples of practical interest are discussed. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.amc.2014.04.070 | Applied Mathematics and Computation |
Keywords | Field | DocType |
umbral methods,special functions,kampé de fériet polynomials,hermite polynomials,leibnitz rule | Algebra,Expression (mathematics),Polynomial,Product rule,Leibniz integral rule,Generalization,Mathematical analysis,Special functions,Hermite polynomials,Mathematics,General Leibniz rule | Journal |
Volume | Issue | ISSN |
241 | 1 | Applied Mathematics and Computation 241, 193 (2014) |
Citations | PageRank | References |
0 | 0.34 | 4 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| D. Babusci | 1 | 8 | 3.82 |
| G. Dattoli | 2 | 48 | 24.42 |
| K. Górska | 3 | 8 | 2.47 |
| Karol A. Penson | 4 | 22 | 8.39 |