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Applications of the classical umbral calculus

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Abstract.

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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Authors and Affiliations

  1. Department of Mathematics, Brandeis University, ., 02454-9110, Waltham, MA, USA

    Ira M. Gessel

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  1. Ira M. Gessel
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Correspondence to Ira M. Gessel.

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Dedicated to the Memory of Gian-Carlo Rota

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Gessel, I.M. Applications of the classical umbral calculus. Algebra univers. 49, 397–434 (2003). https://doi.org/10.1007/s00012-003-1813-5

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  • DOI: https://doi.org/10.1007/s00012-003-1813-5

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