Some years ago Gessel ([Ge]) introduced a q-analogue of functional composition that was strong enough to support a q-analogue of the chain rule. In this note we show that Gessel's q-composition is even strong enough to support a q-analogue of FaaÁ di Bruno's formula for the n th derivative of a comp
A short proof of the generalized Faà di bruno's formula
✍ Scribed by L.Hernández Encinas; J.Muñoz Masqué
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 308 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
✦ Synopsis
A short proof-of the generalized F& di Bruno formula is given and an explicit parametrization of the set of indices involved in the coefficient of a specific term of the formula is provided. An application is also included.
📜 SIMILAR VOLUMES
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