**5**

Discrete orthogonal polynomials

In Chapter 4 we discussed the question of polynomials orthogonal with respect to a weight function, which was assumed to be a positive continuous function on a real interval. This is an instance of a measure. Another example is a discrete measure, for example, one supported on the integers with masses *w _{m}*,

In this context the role of differential operators is played by difference operators. An analogue of the characterization in Theorem 3.4.1 ...

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