Inversion Problems in theq-Hahn Tableau |
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| Authors: | I Area E GodoyA RonveauxA Zarzo |
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| Affiliation: | a Departamento de Matemática Aplicada, E.T.S.I.I. Universidad de Vigo, Spain;b Mathematical Physics, Facultés Universitaires Notre-Dame de la Paix, Namur, Belgium;c Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Spain |
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| Abstract: | If { Pn(x;q)}nis a family of polynomials belonging to the q -Hahn tableau then each polynomial of this family can be written as Pn(x;q) = ∑m = 0nDm(n)m(x) where m(x) stands for (x;q)mor xm. In this paper we solve the corresponding inversion problem, i.e. we find the explicit expression for the coefficients Im(n) in the expansion n(x) = ∑m = 0nIm(n)Pm(x;q). |
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