A characterization of the Rogers q-Hermite polynomials

Details A characterization of the Rogers q-Hermite polynomials A characterization of the Rogers q-Hermite polynomials

1994-02-25

arxiv.org/abs/math/9402212v1

Mathematics

Classical Analysis and ODEs

Scientific paper

In this paper we characterize the Rogers q-Hermite polynomials as the only
orthogonal polynomial set which is also ${\cal D}_q$-Appell where ${\cal D}_q
$ is the Askey-Wilson finite difference operator.

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