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@inproceedings{Terwilliger2004TwoLT, title={Two linear transformations each tridiagonal with respect to an eigenbasis of the other ; an algebraic approach to the Askey scheme of orthogonal polynomials ∗}, author={Paul Terwilliger}, year={2004} }

- Published 2004

Let K denote a field, and let V denote a vector space over K with finite positive dimension. We consider a pair of linear transformations A : V → V and A : V → V that satisfy the following two conditions: (i) There exists a basis for V with respect to which the matrix representing A is irreducible tridiagonal and the matrix representing A is diagonal. (ii) There exists a basis for V with respect to which the matrix representing A is irreducible tridiagonal and the matrix representing A is… CONTINUE READING