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Faà di Bruno’s formula and spatial cluster modelling

✍ Scribed by Clark, Daniel E.; Houssineau, Jeremie


Book ID
123036350
Publisher
Elsevier
Year
2013
Tongue
English
Weight
379 KB
Volume
6
Category
Article
ISSN
2211-6753

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📜 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