Home / Get Math Help
Hahn Polynomial
Definition
The orthogonal polynomials defined by h_n^(α, β)(x, N) = ((-1)^n (N - x - n)_n (β + x + 1)_n)/(n!) ×_3 F_2(-n, - x, α + N - x N - x - n, - β - x - n;1) = ((-1)^n (N - n)_n (β + 1)_n)/(n!) ×_3 F_2(-n, - x, α + β + n + 1 β + 1, 1 - N;1), where (x)_n is the Pochhammer symbol and _3 F_2(a, b, c;d, e;z) is a generalized hypergeometric function.