Abstract
Spectral theorem, reccurence relations and difference eqations for Shefferψ-polynomials are derived. These includeq-Hermite andq-Laguerre polynomials and many others — as special cases.
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References
G.-C. Rota:Finite Operator Calculus. Academic Press, New York, 1975.
G.-C. Rota and R. Mullin:On the foundations of combinatorial theory, III. Theory of Binomial Enumeration in “Graph Theory and Its Applications”, Academic Press, New York, 1970, p. 167.
O.V. Viskov: Soviet Math. Dokl.16 (1975) 1521.
O.V. Viskov: Soviet Math. Dokl.19 (1978) 250.
G. Markowsky: J. Math. Anal. Appl.63 (1978) 145.
A.K. Kwaśniewski: Rep. Math. Phys.48 (2001) 304.
A.K. Kwaśniewski: Integral Transforms and Special Functions2 (2001) 333.
L.C. Biedenharn: J. Phys. A: Math. Gen.22 (1989) L873.
A. Macfarlane: J. Phys. A: Math. Gen.22 (1989) 4581.
I.M. Burban and A.U. Klimyk: Letters in Math. Phys.29 (1993) 13.
P.E.T. Jorgensen, L.M. Schmidt, and R.F Werner: Pacific J. Math.165 (1994) 131.
R. Floreanini and L. Vinet: Lett. Math. Phys.22 (1991) 45.
R. Floreanini and L. Vinet: Lett. Math. Phys.27 (1991) 179.
R. Floreanini, J. LeTourneux, and L. Vinet: J. Phys. A: Math. Gen.28 (1995) L287.
A. Odzijewicz: Commun. Math. Phys.192 (1998) 183.
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Krot, E. ψ-extensions ofq-hermite andq-laguerre polynomials — properties and principal statements. Czech J Phys 51, 1362–1367 (2001). https://doi.org/10.1023/A:1013382322526
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DOI: https://doi.org/10.1023/A:1013382322526