Boas–Buck polynomials

In mathematics, Boas–Buck polynomials are sequences of polynomials Φ(x) given by generating functions of the form The case r. ^[1]

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Generalized Appell polynomials

In mathematics, a polynomial sequence \ has a generalized Appell representation if the generating function for the polynomials takes on a certain form: where the generating function or kernel K(z,w) is composed of the series and and Given the above, it is not hard to show that p_n(z) is a polynomial of degree n. Boas–Buck polynomials are a slightly more general class of polynomials.

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Generating function

In mathematics, a generating function is a way of encoding an infinite sequence of numbers (an) by treating them as the coefficients of a power series.

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Springer Science+Business Media

Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

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References

[1] https://en.wikipedia.org/wiki/Boas–Buck_polynomials

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