Umbral Calculus in Positive Characteristic

2004/05/28 by Anatoly N. Kochubei, Kochubei, Anatoly N.
Mathematics · #05A40 #11G09 #11S80 #46S10 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #math.CO #math.NT #msc:05A40 #msc:11G09 #msc:11S80 #msc:46S10

paper · pdf · doi:10.48550/arxiv.math/0405543

18 pages, LaTeX-2e

arxiv created 2004/05/28 · arxiv updated 2009/12/01

Abstract

An umbral calculus over local fields of positive characteristic is developed on the basis of a relation of binomial type satisfied by the Carlitz polynomials. Orthonormal bases in the space of continuous \mathbb F_q-linear functions are constructed.

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