Peters polynomials

In mathematics, the Peters polynomials sn(x) are polynomials studied by George Peters[1][2] given by the generating function

∑n=0+∞sn(x)tnn!=(1+t)x(1+(1+t)λ)μ

(Roman 1984), (Boas Buck). They are a generalization of the Boole polynomials.

## See also

* Umbral calculus

## References

1. ↑ Schafer, R. D. (1956-01-01). "The October meeting in College Park" (in en). Bulletin of the American Mathematical Society 62 (1): 1–13. doi:10.1090/S0002-9904-1956-09972-0. ISSN 0002-9904. http://www.ams.org/journal-getitem?pii=S0002-9904-1956-09972-0.
2. ↑ Schafer, R. D. (1956-07-01). "The April meeting in New York" (in en). Bulletin of the American Mathematical Society 62 (4): 369–401. doi:10.1090/S0002-9904-1956-10046-3. ISSN 0002-9904. http://www.ams.org/journal-getitem?pii=S0002-9904-1956-10046-3.

* Boas, Ralph P.; Buck, R. Creighton (1958), Polynomial expansions of analytic functions, Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge., 19, Berlin, New York: Springer-Verlag, ISBN 978-0-387-03123-1, https://books.google.com/books?id=eihMuwkh4DsC
* Roman, Steven (1984), The umbral calculus, Pure and Applied Mathematics, 111, London: Academic Press Inc. [Harcourt Brace Jovanovich Publishers], ISBN 978-0-12-594380-2, https://books.google.com/books?id=JpHjkhFLfpgC Reprinted by Dover, 2005

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