Raising and lowering operators and their factorization for generalized orthogonal polynomials of hypergeometric type on homogeneous and non-homogeneous lattice

Details Raising and lowering operators and their factorization for generalized orthogonal polynomials of hypergeometric type on homogeneous and non-homogeneous lattice Raising and lowering operators and their factorization for generalized orthogonal polynomials of hypergeometric type on homogeneous and non-homogeneous lattice

2004-02-08

arxiv.org/abs/math-ph/0402017v1

J. Phys. A: Math. Gen. 36 (2003) 183-198

Physics

Mathematical Physics

LaTeX, 19 pages, (late submission to arXiv.org)

Scientific paper

10.1088/0305-4470/36/1/312

We complete the construction of raising and lowering operators, given in a
previous work, for the orthogonal polynomials of hypergeometric type on
non-homogeneous lattice, and extend these operators to the generalized
orthogonal polynomials, namely, those difference of orthogonal polynomials that
satisfy a similar difference equation of hypergeometric type.

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