Abstract
In this paper we present interpretations of Lommel polynomials and their derivatives. A combinatorial interpretation uses matchings in graphs. This gives an interpretation for the derivatives as well. Then Lommel polynomials are considered from the point of view of operator calculus. A step-3 nilpotent Lie algebra and finite-difference operators arise in the analysis.
lommelfin.dvi (26 kB)
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Comments
Published in Journal of Combinatorial Theory, Series A, 75(1), 163-171.