ORTHOGONAL POLYNOMIALS AND OPERATOR ORDERINGS

@inproceedings{Hamdi2010ORTHOGONALPA,
  title={ORTHOGONAL POLYNOMIALS AND OPERATOR ORDERINGS},
  author={Adel Hamdi and Jiang Zeng},
  year={2010}
}
An alternative and combinatorial proof is given for a connection between a system of Hahn polynomials and identities for symmetric elements in the Heisenberg algebra, which was first observed by Bender et al. [“Resolution of the operator-ordering problem by the method of finite elements,” Phys. Rev. Lett. 56, 2445 (1986); “Continuous Hahn polynomials and the Heisenberg algebra,” J. Math. Phys. 28, 509 (1987)] and proven by Koornwinder [“Meixner-Pollaczek polynomials and the Heisenberg algebra… CONTINUE READING

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