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Full-Text Articles in Physical Sciences and Mathematics
A Combinatorial Interpretation Of Lommel Polynomials And Their Derivatives, Philip J. Feinsilver, John P. Mcsorley, René Schott
A Combinatorial Interpretation Of Lommel Polynomials And Their Derivatives, Philip J. Feinsilver, John P. Mcsorley, René Schott
Articles and Preprints
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.
Knots About Stokes' Theorem, Michael C. Sullivan
Knots About Stokes' Theorem, Michael C. Sullivan
Articles and Preprints
Connections between knot theory and Stokes' Theorem as presented to students in a sophomore level vector calculus class.