This article may be very hard to understand. Please help clarify it. (October 2017)

In mathematics, the actuarial polynomials a^(β)
_n(x) are polynomials given by the generating function

${\displaystyle \displaystyle \sum _{n}{\frac {a_{n}^{(\beta )}(x)}{n!}}t^{n}=\exp(\beta t+x(1-e^{t}))}$

^{[1] [2] [3]}

See also

• Umbral calculus

References

• 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  9783540031239, MR  0094466
• 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
• Toscano, Letterio (1950), "Una classe di polinomi della matematica attuariale", Rivista di Matematica della Università di Parma (in Italian), 1: 459–470, MR  0040480, Zbl  0040.03204

Further reading

• Kim, Eun Woo; Jang, Yu Seon (2016). "Some Umbral Characteristics of the Actuarial Polynomials". Journal of the Chungcheong Mathematical Society. 29 (1): 73–82. doi: 10.14403/jcms.2016.29.1.73.

This polynomial-related article is a stub. You can help Wikipedia by expanding it.

• v
• t
• e