Pidduck polynomial

Introduced by Pidduck (1910–1912).

Pidduck polynomial (plural Pidduck polynomials)

1. (mathematics) Any of a group of polynomials s_n(x) given by the generating function ${\displaystyle \displaystyle \sum _{n}{\frac {s_{n}(x)}{n!}}t^{n}=\left({\frac {1+t}{1-t}}\right)^{x}(1-t)^{-1}}$.