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Continuous Hahn polynomials and the Heisenberg algebra
1.W. Hahn, Math. Nachr. 2, 4 (1949).
2.N. M. Atakishiyev and S. K. Suslov, J. Phys. A 18, 1583 (1985).
3.R. Askey, J. Phys. A 18, L 1017 (1985).
4.For a complete list of references on discrete Hahn polynomial and associated functions see Refs. 2 and 3.
5.I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic, New York, 1965), 3.523 (4).
6.See Ref. 5, 3.511 (4).
7.This identity was first observed in C. M. Bender, L. R. Mead, and S. Pinsky, Phys. Rev. Lett. 56, 2445 (1986).
8.See Ref. 5, p. xxxv.
9.C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers (McGraw‐Hill, New York, 1978).
10.See Ref. 5, p. 344, 3.572. Note that this formula is given incorrectly in the first edition.
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