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Action of Divided Differences on Modified Powers

✍ Scribed by Vincent Prosper

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
83 KB
Volume
22
Category
Article
ISSN
0196-8858

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✦ Synopsis

Divided differences are operators acting on functions of several variables. We Ž k describe this action on the basis of modified powers that is, x is replaced by Ž . Ž . Ž . i x y a xy a иии x y a . Special cases are of interest when a s q or 0 1 ny1 i a s i. ᮊ 1999 Academic Press i 1. PRELIMINARIES

We first recall some properties of complete symmetric functions and divided differences.

Complete Functions of Alphabets

Let us fix the notations for alphabets.

Ä 4 Let ‫ށ‬ s a , a , . . . be an infinite totally ordered alphabet, ‫ށ‬ denoting 1 2 n Ä 4 the finite subalphabet a , a , . . . , a .

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