Some generalizations of the combinatorics of orthogonal polynomials blah blah blah

نویسنده

  • Dan Drake
چکیده

We generalize the combinatorial interpretations of orthogonal polynomials found in [2] in two directions: first, we show that the interpretation of moments as a generating function of Motzkin paths may be generalized to no only different linear functionals, but to arbitrary sequences of polynomials. Second, we develop several new involutions to describe the L norm of polynomials that satisfy a three-term recurrence using different linear functionals.

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تاریخ انتشار 2003