Peters polynomials

Template:Format footnotes In mathematics, the Peters polynomials s_n(x) are polynomials studied by Template:Harvs given by the generating function

$\sum _{n=0}^{+\mathrm{\infty }}{s}_n(x)\frac{t^n}{n!}=\frac{(1+t{)}^x}{(1+(1+t{)}^{\lambda }{)}^{\mu }}$

Template:Harv, Template:Harv. They are a generalization of the Boole polynomials.

See also

• Umbral calculus

References

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• Template:Citation Reprinted by Dover, 2005

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