A Combinatorial Interpretation of Lommel Polynomials and Their Derivatives

Authors

Philip J. Feinsilver, Southern Illinois University Carbondale
John P. McSorley, Southern Illinois University CarbondaleFollow
René Schott, Universite Henri Poincare (Nancy I)

Comments

Published in Journal of Combinatorial Theory, Series A, 75(1), 163-171.

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.

Recommended Citation

Feinsilver, Philip J., McSorley, John P. and Schott, René. "A Combinatorial Interpretation of Lommel Polynomials and Their Derivatives." (Jul 1996).