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

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

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...

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Veröffentlicht in:arXiv.org 2018-11
Hauptverfasser: Cheng, Jinfa, Jia, Lukun
Format: Artikel
Sprache:eng
Schlagworte:
Difference equations
Formulas (mathematics)
Lattices
Mathematical analysis
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Zusammenfassung: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.
ISSN:2331-8422