Stable Computation of Hahn Polynomials for Higher Polynomial Order

Abstract

In this paper, we propose a new algorithm for computing Hahn polynomial coefficients (HPCs) for higher polynomial order, which greatly reduces the spread of numerical defects associated with Hahn polynomials (HPs) using conventional methods. The proposed method is used to reconstruct large 2D images. The reliability and effectiveness of the new approach were often linked to standard repetition algorithms. The findings show that the method proposed is efficient and effective in terms of calculation accuracy and stability of high order Hahn moments.