Calculus of linear extensions and Newton interpolation

Details Calculus of linear extensions and Newton interpolation Calculus of linear extensions and Newton interpolation

2009-11-30

arxiv.org/abs/0911.5620v1

Mathematics

Combinatorics

in Russian

Scientific paper

We use Newton divided differences for calculation of Greene sums -- the
rational functions determined by linear extensions of partially ordered sets.
Identities for Greene sums generate relations for Newton divided differences
and Arnold differential forms. Also generalizations of the Newton interpolation
series which are indexed by sequences of partially ordered sets are received.

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