Name
Abstract | ||
|---|---|---|
In this paper we derive two formulas for divided differences of a function of a function. Both formulas lead to other divided difference formulas, such as reciprocal and quotient rules. The two formulas can also be used to derive Faa di Bruno's formula and other formulas for higher derivatives of composite functions. We also derive a divided difference version of Faa di Bruno's determinant formula. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1090/S0025-5718-06-01916-8 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
chain rule,divided differences,Faa di Bruno's formula | Reciprocal,Combinatorics,Faà di Bruno's formula,Mathematical analysis,Quotient,Chain rule,Divided differences,Calculus,Mathematics,Exponential formula | Journal |
Volume | Issue | ISSN |
76 | 258 | 0025-5718 |
Citations | PageRank | References |
9 | 0.94 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Michael S. Floater | 1 | 1333 | 117.22 |
| Tom Lyche | 2 | 74 | 6.07 |