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Boole polynomials

From Wikipedia, the free encyclopedia

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

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References

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  • 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