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Mathematics

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Southern Illinois University Carbondale

1996

Articles 1 - 3 of 3

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A Combinatorial Interpretation Of Lommel Polynomials And Their Derivatives, Philip J. Feinsilver, John P. Mcsorley, René Schott Jul 1996

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 Jan 1996

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.


Stochastic Differential Systems With Memory: Theory, Examples And Applications (Sixth Workshop On Stochastic Analysis), Salah-Eldin A. Mohammed Jan 1996

Stochastic Differential Systems With Memory: Theory, Examples And Applications (Sixth Workshop On Stochastic Analysis), Salah-Eldin A. Mohammed

Miscellaneous (presentations, translations, interviews, etc)

No abstract provided.