Name: Applications of the classical umbral calculus
Creator: Ira M. Gessel
Keywords: 05A40, 05A19, 05A10, 11B65, 11B68, 11B73, Mathematics - Number Theory, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Number Theory (math.NT), 0102 computer and information sciences, 0101 mathematics, 16. Peace & justice, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Oct 2003Embargo end date: 01 Jan 2001Publisher:Springer Science and Business Media LLCJournal:Algebra Universalis, volume 49, pages 397-434 (issn: 0002-5240, eissn: 1420-8911,

Authors: Ira M. Gessel;

doi: 10.1007/s00012-003-1813-5 , 10.48550/arxiv.math/0108121

arXiv: http://arxiv.org/abs/math/0108121

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.

34 pages

Related Organizations

Brandeis University
United States

Keywords

05A40, 05A19, 05A10, 11B65, 11B68, 11B73, Mathematics - Number Theory, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Number Theory (math.NT)

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