Application of Faà di Bruno's formula in characterization of inverse relations
| Autor: | Peter J. S. Shiue, Leetsch C. Hsu, Wun-Seng Chou |
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| Rok vydání: | 2006 |
| Předmět: |
Faà di Bruno's formula
Formal power series Mathematics::General Mathematics Applied Mathematics Inverse functions and differentiation Characterization (mathematics) Algebra Exponential formula Computational Mathematics Inverse relations Pair of inverse identities Inverse relation Higher order derivatives Mathematics |
| Zdroj: | Journal of Computational and Applied Mathematics. 190(1-2):151-169 |
| ISSN: | 0377-0427 |
| DOI: | 10.1016/j.cam.2004.12.041 |
| Popis: | It is shown that a pair of inverse relations can be constructed by the suitable application of Faà di Bruno's formula for finding higher order derivatives of composite functions. Various examples illustrating the applications of inverse relations are presented. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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