Boas–Buck polynomials

This article relies largely or entirely on a single source. Relevant discussion may be found on the talk page. Please help improve this article by introducing citations to additional sources. Find sources: "Boas–Buck polynomials" – news · newspapers · books · scholar · JSTOR (May 2024)

This article includes inline citations, but they are not properly formatted. Please improve this article by correcting them. (May 2024) (Learn how and when to remove this message)

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

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

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

• 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

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

• v
• t
• e