On Fourth-order Difference Equations for Orthogonal Polynomials of a Discrete Variable : Derivation , Factorization and Solutions

@inproceedings{FOUPOUAGNIGNIa2003OnFD,
  title={On Fourth-order Difference Equations for Orthogonal Polynomials of a Discrete Variable : Derivation , Factorization and Solutions},
  author={M. FOUPOUAGNIGNIa and W. KOEPFa and A. RONVEAUXb},
  year={2003}
}
  • M. FOUPOUAGNIGNIa, W. KOEPFa, A. RONVEAUXb
  • Published 2003
We derive and factorize the fourth-order difference equations satisfied by orthogonal polynomials obtained from some modifications of the recurrence coefficients of classical discrete orthogonal polynomials such as: the associated, the general co-recursive, co-recursive associated, co-dilated and the general co-modified classical orthogonal polynomials. Moreover, we find four linearly independent solutions of these fourth-order difference equations, and show how the results obtained for… CONTINUE READING

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