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Applications of the classical umbral calculus

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algebra universalis Aims and scope Submit manuscript

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

Mathematics Subject Classification (2000):