Applications of the classical umbral calculus
By Ira M. Gessel. 2001
130 citations recorded by the source corpus.
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.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/f8629ed05711033e20dbf17f78ae575d3b80467a
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In Algebra and Number Theory
In Discrete Mathematics and Combinatorics
In Mathematical Physics
Citations in the corpus
- Convolution identities and lacunary recurrences for Bernoulli numbers (2007, methodology): “and is now also known as the “classical umbral calculus;” see [16] for a modern treatment.”