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Some properties of functions with nonzero divided difference

โœ Scribed by E. G. Kirjackis


Publisher
Springer
Year
1979
Tongue
English
Weight
712 KB
Volume
19
Category
Article
ISSN
0363-1672

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## On Functions with Nonvanishing Divided Differences By STEPHAN RUSCHEWEYH of Dortmund (Eingegangen am 1.11.1974) where zit j = O , . . . , n, are distinct points in U. Obviously there exists a natural extension of this definition to the case of arbitrary points z j โ‚ฌ U , j = O , . . . , n. We d

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## a b s t r a c t The well-known formula of Faร  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 Faร  di Bruno's formula and give an explicit formula for the n-th divided difference of