q-Coherent pairs and q-orthogonal polynomials
نویسندگان
چکیده
In this paper we introduce the concept of q coherent pair of linear functionals. We prove that if ðu0; u1Þ is a q coherent pair of linear functionals, then at least one of them has to be a q classical linear functional. Moreover, we present the classification of all q coherent pairs of positive definite linear functionals when u0 or u1 is either the little q Jacobi linear functional or the little q Laguerre/Wall linear functional. Finally, by using limit processes, we recover the classification of coherent pairs of linear functionals stated by Meijer. 2002 Elsevier Science Inc. All rights reserved.
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عنوان ژورنال:
- Applied Mathematics and Computation
دوره 128 شماره
صفحات -
تاریخ انتشار 2002