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The Curious History of Faà di Bruno's Formula

✍ Scribed by Warren P. Johnson

Book ID
118749299
Publisher
Mathematical Association of America
Year
2002
Tongue
English
Weight
445 KB
Volume
109
Category
Article
ISSN
0002-9890

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📜 SIMILAR VOLUMES

Aq-Analogue of Faà di Bruno's Formula
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

A short proof of the generalized Faà di
A short proof of the generalized Faà di bruno's formula
✍ 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.

Some extensions of Faà di Bruno’s formul
Some extensions of Faà di Bruno’s formula with divided differences
✍ 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