Difference polynomials
In mathematics, in the area of complex analysis, the general difference polynomials are a polynomial sequence, a certain subclass of the Sheffer polynomials, which include the Newton polynomials, Selberg's polynomials, and the Stirling interpolation polynomials as special cases. == Definition == The general difference polynomial sequence is given by p n ( z ) = z n ( z − β n − 1 n − 1 ) {\displaystyle p_{n}(z)={\frac {z}{n}}{{z-\beta n-1} \choose {n-1}}} where ( z n ) {\displaystyle {z \choose n}} is the binomial coefficient.