Raising and lowering operators, factorization and differential/difference operators of hypergeometric type

Details Raising and lowering operators, factorization and differential/difference operators of hypergeometric type Raising and lowering operators, factorization and differential/difference operators of hypergeometric type

2004-01-14

arxiv.org/abs/math-ph/0401030v1

J. Phys. A: Math. Gen. 34 (2001) 569-588

Physics

Mathematical Physics

LaTeX, 24 pages, iopart style (late submission)

Scientific paper

10.1088/0305-4470/34/3/316

Starting from Rodrigues formula we present a general construction of raising and lowering operators for orthogonal polynomials of continuous and discrete variable on uniform lattice. In order to have these operators mutually adjoint we introduce orthonormal functions with respect to the scalar product of unit weight. Using the Infeld-Hull factorization method, we generate from the raising and lowering operators the second order self-adjoint differential/difference operator of hypergeometric type.

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