Author:
Brown B. Malcolm,Evans W. Desmond,Ismail Mourad E. H.
Abstract
AbstractWe find the adjoint of the Askey–Wilson divided difference operator with respect to the inner product on L2(–1, 1, (1– x2)½dx) defined as a Cauchy principal value and show that the Askey-Wilson polynomials are solutions of a q-Sturm–Liouville problem. From these facts we deduce various properties of the polynomials in a simple and straightforward way. We also provide an operator theoretic description of the Askey-Wilson operator.
Publisher
Cambridge University Press (CUP)
Cited by
41 articles.
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