On the Complex Difference Equation of Hypergeometric Type on Non-uniform Lattices  

作　　者：Jin Fa CHENG 

机构地区：[1]School of Mathematical Sciences,Xiamen University,Xiamen 361005,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2020年第5期487-511,共25页数学学报（英文版）

基　　金：Supported by the Fundamental Research Funds for the Central Universities of China(Grant No.20720150006);Natural Science Foundation of Fujian Province of China(Grant No.2016J01032)。

摘　　要：In this article,we obtain a new fundamental theorems for Nikiforov-Uvarov-Suslov complex difference equation of hypergeometric type by the method of Euler integral transformation,its expression is different from Suslov’s Theorem.We also 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 and other important results.

关 键 词：Special function orthogonal POLYNOMIALS ADJOINT EQUATION difference EQUATION of HYPERGEOMETRIC TYPE non-uniform lattice 

分 类 号：O175[理学—数学]