Boas-Buck polynomial

Etymology
The case r=1 was studied in 1958 by Ralph P. Boas, Jr. and Robert Creighton Buck.

Noun

 * 1)  Any member of the sequence of polynomials Φn(r)(x) given by generating functions of the form $$\displaystyle C(zt^r B(t))=\sum_{n\ge0}\Phi_n^{(r)}(z)t^n$$.