The Classical Umbral Calculus

A rigorous presentation of the umbral calculus, as formerly applied heuristically by Blissard, Bell, Riordan, and others is given. As an application, the basic identities for Bernoulli numbers, as well as their generalizations first developed by Norlund are derived.

Saved in:
Bibliographic Details
Published in:SIAM journal on mathematical analysis 1994-03, Vol.25 (2), p.694-711
Main Authors: Rota, G.-C., Taylor, B. D.
Format: Article
Language:English
Subjects:
Algebra
Applied mathematics
Calculus
Combinatorics
Mathematicians
Multiplication & division
Polynomials
Variables
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A rigorous presentation of the umbral calculus, as formerly applied heuristically by Blissard, Bell, Riordan, and others is given. As an application, the basic identities for Bernoulli numbers, as well as their generalizations first developed by Norlund are derived.
ISSN:0036-1410
1095-7154
DOI:10.1137/S0036141093245616