Boas–Buck polynomials

In mathematics, Boas–Buck polynomials are sequences of polynomials ${\mathrm{\Phi }}_n^{(r)}(z)$ defined from analytic functions $B$ and $C$ by generating functions of the form

$C(z{t}^{r}B(t))=\sum _{n\ge 0}{\mathrm{\Phi }}_n^{(r)}(z)t^n$.

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