From Wikipedia, the free encyclopedia
This article includes inline citations, but they are not properly formatted. Please improve this article by correcting them. (May 2024) (Learn how and when to remove this message) |
In mathematics, the Boole polynomials sn(x) are polynomials given by the generating function
(Roman 1984, 4.5), (Jordan 1939, sections 113–117).
See also
[edit]- Umbral calculus
- Peters polynomials, a generalization of Boole polynomials.
References
[edit]- Boas, Ralph P.; Buck, R. Creighton (1958), Polynomial expansions of analytic functions, Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge., vol. 19, Berlin, New York: Springer-Verlag, ISBN 978-0-387-03123-1, MR 0094466
- Boole, G. (1860/1970), Calculus of finite differences.
- Jordan, Charles (1939), Calculus of Finite Differences, Hungarian Agent Eggenberger Book-Shop, Budapest, ISBN 978-0-8284-0033-6, MR 0000441, Reprinted by Chelsea 1965
- Roman, Steven (1984), The umbral calculus, Pure and Applied Mathematics, vol. 111, London: Academic Press Inc. [Harcourt Brace Jovanovich Publishers], ISBN 978-0-12-594380-2, MR 0741185 Reprinted by Dover, 2005
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