Quantum algebras, q-polynomials of Kravchuk and q-functions of Kravchuk-Meixner
Abstract
Addition and multiplication theorems are proved for Kravchuk q-polynomials by means of methods from the theory of representations of the quantum algebras $U_q (su_2)$ and $U_q(su_{1,1})$, and Kravchuk-Meixner $q$-functions are introduced and are shown to be orthogonal on the set of integers.
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Copyright (c) 1992 V. A. Groza
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