Boas–Buck polynomials

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

:$\backslash displaystyle\; C(zt^r\; B(t))=\backslash sum\_\{n\backslash ge0\}\backslash Phi\_n^\{(r)\}(z)t^n$.

The case $r=1$, sometimes called generalized Appell polynomials, was studied by {{harvs|txt|last=Boas|authorlink=Ralph P. Boas, Jr.|last2=Buck|author2-link=Robert Creighton Buck|year=1958}}.