𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Multidimensional extension of Faa di Bruno's formula

✍ Scribed by Henryk Gzyl


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
180 KB
Volume
116
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Aq-Analogue of Faà di Bruno's Formula
✍ Warren P. Johnson 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 285 KB

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

Some extensions of Faà di Bruno’s formul
✍ Aimin Xu; Chengjing Wang 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 428 KB

## a b s t r a c t The well-known formula of Faà di Bruno's for higher derivatives of a composite function has played an important role in combinatorics. In this paper we generalize the divided difference form of Faà di Bruno's formula and give an explicit formula for the n-th divided difference of

A short proof of the generalized Faà di
✍ L.Hernández Encinas; J.Muñoz Masqué 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 308 KB

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.

Extension of Penman's formulae to multi-
✍ Jean Paul Lhomme 📂 Article 📅 1988 🏛 Springer 🌐 English ⚖ 520 KB

In this paper, the well-established multi-layer model originally devised by Waggoner and Reifsnyder (1968) is used. This steady-state model based on an electrical analogue simulates the energy exchange between the vegetation and the atmosphere. A purely mathematical development of the basic equation