Abstract
In the case of the q-derivative operator \(\mathcal{D}_{q}:=\mathcal{A}_{q,0}\), we have to deal with (cf. (2.2.7)):
for n=0,1,2,… and q∈ℝ∖{−1,0,1}. In the symmetric form (cf. (2.2.12)) this reads
with (cf. (2.2.13))
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© 2010 Springer-Verlag Berlin Heidelberg
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Koekoek, R., Lesky, P.A., Swarttouw, R.F. (2010). Orthogonal Polynomial Solutions of q-Difference Equations. In: Hypergeometric Orthogonal Polynomials and Their q-Analogues. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05014-5_10
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DOI: https://doi.org/10.1007/978-3-642-05014-5_10
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