2018/12/27 by Jinfa Cheng, Cheng, Jinfa, Weizhong Dai +1
Mathematics · Physics and Astronomy · #33C45 #33D20 #33D45 #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #F.2.2 #FOS: Mathematics #I.2.7 #Nonlinear Waves and Solitons #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.1812.10591
openalex publication_date 2018/12/27 · openalex created_date 2019/01/11 · openalex updated_date 2026/07/28
In this article, we establish the adjoint equation for Nikiforov-Uvarov-Suslov difference equation of hypergeometric type on non-uniform lattices, and prove it to be a difference equation of hypergeometric type on non-uniform lattices as well. The particular solutions of the adjoint equation are then obtained. As an appliction of these particular solutions, we use them to obtain the particular solutions for the original difference equation of hypergeometric type on non-uniform lattices. Finally, we prove another kind of fundamental theorems for Nikiforov-Uvarov-Suslov difference equation of hypergeometric type, which are essentially new results, its expression is different from Suslov's Theorem.