非一致格子上的超几何型差分方程:第二类解的Rodrigues型表示公式

Abstract

Abstract:

By building a second order adjoint equation, the 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.

Key words: Special function, Orthogonal polynomial, Adjoint difference equation, Hypergeometric difference equations, Nonuniform lattice

CLC Number:

O174.6

Jinfa Cheng,Lukun Jia. Hypergeometric Type Difference Equations on Nonuniform Lattices: Rodrigues Type Representation for the Second Kind Solution[J].Acta mathematica scientia,Series A, 2019, 39(4): 875-893.

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Hypergeometric Type Difference Equations on Nonuniform Lattices: Rodrigues Type Representation for the Second Kind Solution

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