Boas–Buck polynomials

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

C (z t^{r} B (t)) = \sum_{n \geq 0} Φ_{n}^{(r)} (z) t^{n}

.

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

References

↑ Boas, Ralph Philip; Buck, Robert Creighton (1964) (in en). Polynomial Expansions of Analytic Functions. Academic Press. ISBN 978-0-387-03123-1. https://books.google.com/books?id=eihMuwkh4DsC.

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[1] Boas, Ralph Philip; Buck, Robert Creighton (1964) (in en). Polynomial Expansions of Analytic Functions. Academic Press. ISBN 978-0-387-03123-1. https://books.google.com/books?id=eihMuwkh4DsC.

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