Abstract

ATAKISHIYEVA, Mesuma  and  ATAKISHIYEV, Natig. A non-standard generating function for continuous dual q-hahn polynomials. Rev. Mat [online]. 2011, vol.18, n.1, pp.111-120. ISSN 1409-2433.

We study a non-standard form of generating function for the three-parameter  continuous dual q-Hahn polynomials p n(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 p n(x; a, b, c |  q) can be explicitly stated in terms of Jackson’s q-exponential functions eq(z).

Keywords : q-scheme of Askey; generating function; q-exponential function of Jackson; dual q-Hahn polynomials.

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