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Umbral Calculus in Positive Characteristic

Anatoly N. Kochubei
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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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Anatoly N. Kochubei. 2004-05-28. Umbral Calculus in Positive Characteristic. https://arxiv.org/abs/math/0405543

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