Keywords
generating function
q-exponential function of Jackson
dual q-Hahn polynomials
esquema q de Askey
función generatriz
polinomios duales q-Hahn
función q-exponencial de Jackson
How to Cite
Abstract
We study a non-standard form of generating function for the three-parameter continuous dual q-Hahn polynomials pn(x; a, b, c | q), which has surfaced in a recent work of the present authors on the construction of lifting q-difference operators in the Askey scheme of basic hypergeometric polynomials. We show that the resulting generating function identity for the continuous dual q-Hahn polynomials pn(x; a, b, c | q) can be explicitly stated in terms of Jackson’s q-exponential functions eq(z).
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