Discrete Hahn polynomials (DHPs) and their moments are considered to be one of the efficient orthogonal they applied in various scientific areas such as image processing feature extraction. Commonly, DHPs used object representation; however, suffer from problem numerical instability when moment order becomes large. In this paper, an operative method compute basis is proposed high orders. This p...

Orthogonal polynomials on the real line always satisfy a three-term recurrence relation. The recurrence coefficients determine a tridiagonal semi-infinite matrix (Jacobi matrix) which uniquely characterizes the orthogonal polynomials. We investigate new orthogonal polynomials by adding to the Jacobi matrix r new rows and columns, so that the original Jacobi matrix is shifted downward. The r new...