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Applications of the classical umbral calculus

Authors:	Ira?M.?Gessel author-information" > author-information__contact u-icon-before" > mailto:gessel@brandeis.edu" title=" gessel@brandeis.edu" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author

Affiliation:	(1) Department of Mathematics, Brandeis University, ., 02454-9110 Waltham, MA, USA

Abstract:	We describe applications of the classical umbral calculus to bilinear generatingfunctions for polynomial sequences, identities for Bernoulli and related numbers, andKummer congruences.Dedicated to the Memory of Gian-Carlo Rota

Keywords:	05A40 05A19, 05A10, 11B65, 11B68, 11B73.
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