Boas–Buck polynomials

In mathematics, Boas–Buck polynomials are sequences of polynomials Φ^(r)
_n(x) given by generating functions of the form

\displaystyle C(zt^{r}B(t))=\sum _{n\geq 0}\Phi _{n}^{(r)}(z)t^{n}

.

The case r=1, sometimes called generalized Appell polynomials, was studied by Boas and Buck (1958).

References

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, MR 0094466

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