Generalizations of Rodrigues Type Formulas for Hypergeometric Difference Equations on Nonuniform Lattices

2018/11/17 by Cheng, Jinfa, Jia, Lukun
#33C45 #33D20 #33D45 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1811.07114

Abstract

By building a second order adjoint difference equations on nonuniform lattices, the generalized Rodrigues type representation for the second kind solution of a second order difference equation of hypergeometric type on nonuniform lattices is given. The general solution of the equation in the form of a combination of a standard Rodrigues formula and a generalized Rodrigues formula is also established.

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