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arxiv: math/0108121 · v3 · pith:22A747ZHnew · submitted 2001-08-17 · 🧮 math.CO · math.NT

Applications of the classical umbral calculus

classification 🧮 math.CO math.NT
keywords applicationscalculusclassicalumbralbernoullibilinearcongruencesdescribe
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We describe applications of the classical umbral calculus to bilinear generating functions for polynomial sequences, identities for Bernoulli and related numbers, and Kummer congruences.

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