In mathematics, Boas–Buck polynomials are sequences of polynomials

\Phi_n^(z)

defined from

analytic function In mathematics, an analytic function is a function that is locally given by a convergent power series. There exist both real analytic functions and complex analytic functions. Functions of each type are infinitely differentiable, but complex ...

B

and

C

generating function In mathematics, a generating function is a representation of an infinite sequence of numbers as the coefficients of a formal power series. Generating functions are often expressed in closed form (rather than as a series), by some expression invo ...

s of the form :

\displaystyle C(zt^r B(t))=\sum_\Phi_n^(z)t^n

. The case

r=1

, sometimes called

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: :K(z,w) = A(w)\Psi(zg(w)) = \sum_^\infty p_n(z) w^n where the generating function or kernel K( ...

, was studied by .

References

* Polynomials {{polynomial-stub