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Generalizations of Rodrigues type formulas for hypergeometric difference equations on nonuniform lattices |
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| Authors: | Jinfa Cheng Lukun Jia |
| Institution: | 1. School of Mathematical Science, Xiamen University, Xiamen, Fujian, People's Republic of Chinajfcheng@xmu.edu.cn![ORCID Icon]({"type":"image","src":"/templates/jsp/images/orcid.png"} "ORCID Icon") https://orcid.org/0000-0002-4874-4338;3. School of Mathematical Science, Xiamen University, Xiamen, Fujian, People's Republic of China |
| Abstract: | ABSTRACTBy 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. |
| Keywords: | Special function orthogonal polynomials adjoint difference equation difference equation of hypergeometric type nonuniform lattice |